Counting all the hearts












2












$begingroup$


The Arthur family ( Henrik, Olga, Heather and Kristophe) are playing Bridge at the dining table with a standard deck of cards.




Taking into account every possibility



How many hearts are at that table?







lateral-thinking







share|improve this question









$endgroup$

















    2












    $begingroup$


    The Arthur family ( Henrik, Olga, Heather and Kristophe) are playing Bridge at the dining table with a standard deck of cards.




    Taking into account every possibility



    How many hearts are at that table?







    lateral-thinking







    share|improve this question









    $endgroup$















      2












      2








      2





      $begingroup$


      The Arthur family ( Henrik, Olga, Heather and Kristophe) are playing Bridge at the dining table with a standard deck of cards.




      Taking into account every possibility



      How many hearts are at that table?







      lateral-thinking







      share|improve this question









      $endgroup$




      The Arthur family ( Henrik, Olga, Heather and Kristophe) are playing Bridge at the dining table with a standard deck of cards.




      Taking into account every possibility



      How many hearts are at that table?







      lateral-thinking




      lateral-thinking






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 10 hours ago









      DEEMDEEM

      6,349120113




      6,349120113






















          2 Answers
          2






          active

          oldest

          votes


















          7












          $begingroup$

          First,




          there are $4$ human hearts.




          Then,




          Considering this image of standard playing cards:
          hearts

          The cards have $2$ hearts on each card next to the name of the card, each face card has $2$ additional hearts in the art, and every other card has its number of hearts, totaling $$2cdot13+3cdot2+(1+2+dots+10)=26+6+55=87.$$




          Finally,




          The family's names contain letters that form the word heart. We will use Dr Xorile's suggestion to count the total number of ways to form heart using different instances of the letters in their names. If we take their full names: Henrik Arthur, Olga Arthur, Heather Arthur, and Kristophe Arthur, we count $8$ H's, $4$ E's, $6$ A's, $11$ R's, and $6$ T's, giving $$8cdot4cdot6cdot11cdot6=12672.$$




          which adds up to




          $4+87+12672=12763$.







          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            You have to take into account every possibility: what if one of them is a timelord?
            $endgroup$
            – Arnaud Mortier
            10 hours ago






          • 1




            $begingroup$
            Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
            $endgroup$
            – Gareth McCaughan♦
            9 hours ago






          • 1




            $begingroup$
            @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
            $endgroup$
            – noedne
            9 hours ago






          • 2




            $begingroup$
            At some point we might begin to suspect that the Arthurs are octupuses.
            $endgroup$
            – noedne
            9 hours ago






          • 1




            $begingroup$
            Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
            $endgroup$
            – Gareth McCaughan♦
            9 hours ago



















          4












          $begingroup$

          Starting with noedne's analysis of




          87 hearts




          from the card deck alone. We also have:




          four (I assume) humans, that have one heart each... except that the two women could be pregnant (take into account every possibility!), and with humans twinning is reasonable, but triplets are pretty rare, so I would say up to 8 human hearts.




          Oops, almost forgot to look at:




          The text itself! The Arthur family has a cleverly hidden heart, and there are enough letters in the other names for 2 more, adding these to the human and card hearts are 87+8+3 for a grand total of 98 hearts. I think this is a stretch, but the fact that there are 52 cards in a deck also looks like a heart(), so that would make 99.




          Or if you want to be absolutely ridiculous:




          Octuplets have been born a few times, so you could have 4+8+8=20 human hearts for a grand total of 110, but at that rate do you count multiple births higher than eight as long as they can have a beating heart in the womb? That's why I consider this a ridiculous option.







          share|improve this answer











          $endgroup$













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            2 Answers
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            2 Answers
            2






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            active

            oldest

            votes






            active

            oldest

            votes









            7












            $begingroup$

            First,




            there are $4$ human hearts.




            Then,




            Considering this image of standard playing cards:
            hearts

            The cards have $2$ hearts on each card next to the name of the card, each face card has $2$ additional hearts in the art, and every other card has its number of hearts, totaling $$2cdot13+3cdot2+(1+2+dots+10)=26+6+55=87.$$




            Finally,




            The family's names contain letters that form the word heart. We will use Dr Xorile's suggestion to count the total number of ways to form heart using different instances of the letters in their names. If we take their full names: Henrik Arthur, Olga Arthur, Heather Arthur, and Kristophe Arthur, we count $8$ H's, $4$ E's, $6$ A's, $11$ R's, and $6$ T's, giving $$8cdot4cdot6cdot11cdot6=12672.$$




            which adds up to




            $4+87+12672=12763$.







            share|improve this answer











            $endgroup$









            • 1




              $begingroup$
              You have to take into account every possibility: what if one of them is a timelord?
              $endgroup$
              – Arnaud Mortier
              10 hours ago






            • 1




              $begingroup$
              Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago






            • 1




              $begingroup$
              @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
              $endgroup$
              – noedne
              9 hours ago






            • 2




              $begingroup$
              At some point we might begin to suspect that the Arthurs are octupuses.
              $endgroup$
              – noedne
              9 hours ago






            • 1




              $begingroup$
              Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago
















            7












            $begingroup$

            First,




            there are $4$ human hearts.




            Then,




            Considering this image of standard playing cards:
            hearts

            The cards have $2$ hearts on each card next to the name of the card, each face card has $2$ additional hearts in the art, and every other card has its number of hearts, totaling $$2cdot13+3cdot2+(1+2+dots+10)=26+6+55=87.$$




            Finally,




            The family's names contain letters that form the word heart. We will use Dr Xorile's suggestion to count the total number of ways to form heart using different instances of the letters in their names. If we take their full names: Henrik Arthur, Olga Arthur, Heather Arthur, and Kristophe Arthur, we count $8$ H's, $4$ E's, $6$ A's, $11$ R's, and $6$ T's, giving $$8cdot4cdot6cdot11cdot6=12672.$$




            which adds up to




            $4+87+12672=12763$.







            share|improve this answer











            $endgroup$









            • 1




              $begingroup$
              You have to take into account every possibility: what if one of them is a timelord?
              $endgroup$
              – Arnaud Mortier
              10 hours ago






            • 1




              $begingroup$
              Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago






            • 1




              $begingroup$
              @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
              $endgroup$
              – noedne
              9 hours ago






            • 2




              $begingroup$
              At some point we might begin to suspect that the Arthurs are octupuses.
              $endgroup$
              – noedne
              9 hours ago






            • 1




              $begingroup$
              Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago














            7












            7








            7





            $begingroup$

            First,




            there are $4$ human hearts.




            Then,




            Considering this image of standard playing cards:
            hearts

            The cards have $2$ hearts on each card next to the name of the card, each face card has $2$ additional hearts in the art, and every other card has its number of hearts, totaling $$2cdot13+3cdot2+(1+2+dots+10)=26+6+55=87.$$




            Finally,




            The family's names contain letters that form the word heart. We will use Dr Xorile's suggestion to count the total number of ways to form heart using different instances of the letters in their names. If we take their full names: Henrik Arthur, Olga Arthur, Heather Arthur, and Kristophe Arthur, we count $8$ H's, $4$ E's, $6$ A's, $11$ R's, and $6$ T's, giving $$8cdot4cdot6cdot11cdot6=12672.$$




            which adds up to




            $4+87+12672=12763$.







            share|improve this answer











            $endgroup$



            First,




            there are $4$ human hearts.




            Then,




            Considering this image of standard playing cards:
            hearts

            The cards have $2$ hearts on each card next to the name of the card, each face card has $2$ additional hearts in the art, and every other card has its number of hearts, totaling $$2cdot13+3cdot2+(1+2+dots+10)=26+6+55=87.$$




            Finally,




            The family's names contain letters that form the word heart. We will use Dr Xorile's suggestion to count the total number of ways to form heart using different instances of the letters in their names. If we take their full names: Henrik Arthur, Olga Arthur, Heather Arthur, and Kristophe Arthur, we count $8$ H's, $4$ E's, $6$ A's, $11$ R's, and $6$ T's, giving $$8cdot4cdot6cdot11cdot6=12672.$$




            which adds up to




            $4+87+12672=12763$.








            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited 9 hours ago

























            answered 10 hours ago









            noednenoedne

            6,60711956




            6,60711956








            • 1




              $begingroup$
              You have to take into account every possibility: what if one of them is a timelord?
              $endgroup$
              – Arnaud Mortier
              10 hours ago






            • 1




              $begingroup$
              Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago






            • 1




              $begingroup$
              @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
              $endgroup$
              – noedne
              9 hours ago






            • 2




              $begingroup$
              At some point we might begin to suspect that the Arthurs are octupuses.
              $endgroup$
              – noedne
              9 hours ago






            • 1




              $begingroup$
              Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago














            • 1




              $begingroup$
              You have to take into account every possibility: what if one of them is a timelord?
              $endgroup$
              – Arnaud Mortier
              10 hours ago






            • 1




              $begingroup$
              Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago






            • 1




              $begingroup$
              @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
              $endgroup$
              – noedne
              9 hours ago






            • 2




              $begingroup$
              At some point we might begin to suspect that the Arthurs are octupuses.
              $endgroup$
              – noedne
              9 hours ago






            • 1




              $begingroup$
              Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
              $endgroup$
              – Gareth McCaughan♦
              9 hours ago








            1




            1




            $begingroup$
            You have to take into account every possibility: what if one of them is a timelord?
            $endgroup$
            – Arnaud Mortier
            10 hours ago




            $begingroup$
            You have to take into account every possibility: what if one of them is a timelord?
            $endgroup$
            – Arnaud Mortier
            10 hours ago




            1




            1




            $begingroup$
            Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
            $endgroup$
            – Gareth McCaughan♦
            9 hours ago




            $begingroup$
            Do the people portrayed in face cards have hearts? (I say no, they are mere abstract sketches of people. Perhaps DEEM thinks otherwise.)
            $endgroup$
            – Gareth McCaughan♦
            9 hours ago




            1




            1




            $begingroup$
            @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
            $endgroup$
            – noedne
            9 hours ago




            $begingroup$
            @GarethMcCaughan I was thinking the same. After all, the King cannot still have a heart with that sword stuck in his head for so long.
            $endgroup$
            – noedne
            9 hours ago




            2




            2




            $begingroup$
            At some point we might begin to suspect that the Arthurs are octupuses.
            $endgroup$
            – noedne
            9 hours ago




            $begingroup$
            At some point we might begin to suspect that the Arthurs are octupuses.
            $endgroup$
            – noedne
            9 hours ago




            1




            1




            $begingroup$
            Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
            $endgroup$
            – Gareth McCaughan♦
            9 hours ago




            $begingroup$
            Every possibility? Well, for all we know there's another part of the table piled high with dozens of other packs of cards...
            $endgroup$
            – Gareth McCaughan♦
            9 hours ago











            4












            $begingroup$

            Starting with noedne's analysis of




            87 hearts




            from the card deck alone. We also have:




            four (I assume) humans, that have one heart each... except that the two women could be pregnant (take into account every possibility!), and with humans twinning is reasonable, but triplets are pretty rare, so I would say up to 8 human hearts.




            Oops, almost forgot to look at:




            The text itself! The Arthur family has a cleverly hidden heart, and there are enough letters in the other names for 2 more, adding these to the human and card hearts are 87+8+3 for a grand total of 98 hearts. I think this is a stretch, but the fact that there are 52 cards in a deck also looks like a heart(), so that would make 99.




            Or if you want to be absolutely ridiculous:




            Octuplets have been born a few times, so you could have 4+8+8=20 human hearts for a grand total of 110, but at that rate do you count multiple births higher than eight as long as they can have a beating heart in the womb? That's why I consider this a ridiculous option.







            share|improve this answer











            $endgroup$


















              4












              $begingroup$

              Starting with noedne's analysis of




              87 hearts




              from the card deck alone. We also have:




              four (I assume) humans, that have one heart each... except that the two women could be pregnant (take into account every possibility!), and with humans twinning is reasonable, but triplets are pretty rare, so I would say up to 8 human hearts.




              Oops, almost forgot to look at:




              The text itself! The Arthur family has a cleverly hidden heart, and there are enough letters in the other names for 2 more, adding these to the human and card hearts are 87+8+3 for a grand total of 98 hearts. I think this is a stretch, but the fact that there are 52 cards in a deck also looks like a heart(), so that would make 99.




              Or if you want to be absolutely ridiculous:




              Octuplets have been born a few times, so you could have 4+8+8=20 human hearts for a grand total of 110, but at that rate do you count multiple births higher than eight as long as they can have a beating heart in the womb? That's why I consider this a ridiculous option.







              share|improve this answer











              $endgroup$
















                4












                4








                4





                $begingroup$

                Starting with noedne's analysis of




                87 hearts




                from the card deck alone. We also have:




                four (I assume) humans, that have one heart each... except that the two women could be pregnant (take into account every possibility!), and with humans twinning is reasonable, but triplets are pretty rare, so I would say up to 8 human hearts.




                Oops, almost forgot to look at:




                The text itself! The Arthur family has a cleverly hidden heart, and there are enough letters in the other names for 2 more, adding these to the human and card hearts are 87+8+3 for a grand total of 98 hearts. I think this is a stretch, but the fact that there are 52 cards in a deck also looks like a heart(), so that would make 99.




                Or if you want to be absolutely ridiculous:




                Octuplets have been born a few times, so you could have 4+8+8=20 human hearts for a grand total of 110, but at that rate do you count multiple births higher than eight as long as they can have a beating heart in the womb? That's why I consider this a ridiculous option.







                share|improve this answer











                $endgroup$



                Starting with noedne's analysis of




                87 hearts




                from the card deck alone. We also have:




                four (I assume) humans, that have one heart each... except that the two women could be pregnant (take into account every possibility!), and with humans twinning is reasonable, but triplets are pretty rare, so I would say up to 8 human hearts.




                Oops, almost forgot to look at:




                The text itself! The Arthur family has a cleverly hidden heart, and there are enough letters in the other names for 2 more, adding these to the human and card hearts are 87+8+3 for a grand total of 98 hearts. I think this is a stretch, but the fact that there are 52 cards in a deck also looks like a heart(), so that would make 99.




                Or if you want to be absolutely ridiculous:




                Octuplets have been born a few times, so you could have 4+8+8=20 human hearts for a grand total of 110, but at that rate do you count multiple births higher than eight as long as they can have a beating heart in the womb? That's why I consider this a ridiculous option.








                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 5 hours ago

























                answered 5 hours ago









                NH.NH.

                32119




                32119






























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                    格利澤436b

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                    格利泽436b 太陽系外行星 太陽系外行星列表 艺术家笔下的格利泽436b 母恆星 母恆星 Gliese 436 星座 獅子座 赤經 ( α ) 11 h  42 m  11.0941 s [1] 赤緯 ( δ ) +26° 42′ 23.652″ [1] 距離 33.4 ly (10.2 pc) 光譜類型 M2.5 V [1] 軌道參數 半长轴 ( a ) 0.0291±0.0004 [2] AU 軌道離心率 ( e ) 0.150±0.012 [2] 公轉週期 ( P ) 2.643904±0.000005 [3] d (0.00723849 y) 軌道傾角 ( i ) 85.8 +0.21 −0.25 [3] ° 角距 ( θ ) 2.794 mas 近星點時間 ( T 0 ) 2,451,551.716 ±0.01 JD 半振幅 ( K ) 18.68±0.8 m/s 物理性质 质量 ( m ) 22.2±1.0 [2] M ⊕ 半徑 ( r ) 4.327±0.183 [2] [4] R ⊕ 密度 ( ρ ) 1.51 g cm -3 表面重力 ( g ) 1.18 g 溫度 ( T ) 712±36 [2] K 發現 發現時間 2004 發現者 巴特勒、沃格特、 馬西 et al. 發現方法 徑向速度、凌日法 發現地點 美國加利福尼亞州 發表論文 出版 其他名稱 Ross 905 b, GJ 436 b, [5] LTT 13213 b, GCTP 2704.10 b, LHS 310, AC+27:28217 b, Vyssotsky 616 b, HIP 57087 b, GEN# +9.80120068 b, LP 319-75 b, G 121-7 b, LSPM J1142+2642 b, 1RXS J114211.9+264328 b, ASCC 683818 b, G 147-68 b, UCAC2 41198281 b, BP...
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