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Counting all the hearts

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Counting all the hearts

Ants playing tag!A Chess Puzzle With a TwistLateral thinking in a field of cowsThe round tableCheckmate all the kings #2The Peculiar and possibly impossible seating arrangementAn unorthodox riddleHow can he save both- his son and lot of people?The Dollar BillHow does the boy retrieve his ball?

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

asked 10 hours ago

DEEMDEEM

6,349120113

$endgroup$

add a comment | 

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

asked 10 hours ago

DEEMDEEM

6,349120113

$endgroup$

add a comment | 

$begingroup$

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

asked 10 hours ago

DEEMDEEM

6,349120113

$endgroup$

share|improve this question

asked 10 hours ago

DEEMDEEM

6,349120113

share|improve this question

asked 10 hours ago

DEEMDEEM

6,349120113

asked 10 hours ago

DEEMDEEM

6,349120113

asked 10 hours ago

DEEMDEEM

6,349120113

2 Answers
2

active

oldest

votes

7

$begingroup$

First,

there are $4$ human hearts.

Then,

Considering this image of standard playing cards:


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

edited 9 hours ago

answered 9 hours ago

noednenoedne

6,60711956

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  You have to take into account every possibility: what if one of them is a timelord?
  $endgroup$
  – Arnaud Mortier
  9 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♦
  8 hours ago
  

  
  
  
  

 | 
show 5 more comments

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

edited 4 hours ago

answered 5 hours ago

NH.NH.

32119

$endgroup$

add a comment | 

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7

$begingroup$

First,

there are $4$ human hearts.

Then,

Considering this image of standard playing cards:


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

edited 9 hours ago

answered 9 hours ago

noednenoedne

6,60711956

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  You have to take into account every possibility: what if one of them is a timelord?
  $endgroup$
  – Arnaud Mortier
  9 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♦
  8 hours ago
  

  
  
  
  

 | 
show 5 more comments

7

$begingroup$

First,

there are $4$ human hearts.

Then,

Considering this image of standard playing cards:


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

edited 9 hours ago

answered 9 hours ago

noednenoedne

6,60711956

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  You have to take into account every possibility: what if one of them is a timelord?
  $endgroup$
  – Arnaud Mortier
  9 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♦
  8 hours ago
  

  
  
  
  

 | 
show 5 more comments

$begingroup$

First,

there are $4$ human hearts.

Then,

Considering this image of standard playing cards:


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

edited 9 hours ago

answered 9 hours ago

noednenoedne

6,60711956

$endgroup$

share|improve this answer

edited 9 hours ago

answered 9 hours ago

noednenoedne

6,60711956

answered 9 hours ago

noednenoedne

6,60711956

answered 9 hours ago

noednenoedne

6,60711956

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

edited 4 hours ago

answered 5 hours ago

NH.NH.

32119

$endgroup$

add a comment | 

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

edited 4 hours ago

answered 5 hours ago

NH.NH.

32119

$endgroup$

add a comment | 

$begingroup$

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

edited 4 hours ago

answered 5 hours ago

NH.NH.

32119

$endgroup$

share|improve this answer

edited 4 hours ago

answered 5 hours ago

NH.NH.

32119

answered 5 hours ago

NH.NH.

32119

answered 5 hours ago

NH.NH.

32119