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A standard deck of playing cards has 52 cards divided into four suits (clubs, diamonds, hearts, spades). Each suit consists of nine "number cards", each containing a different number from 2 to 10, and four "face cards" that include a jack, a queen, a king and an ace. In the game of Cribbage, points are earned if you can combine two cards that sum to 14. Jacks, queens and kings each have a value of 10, aces each have a value of 1, and all number cards have a value of the number shown. How many different unordered pairs of two cards sum to 14 in a standard 52-card deck?

 #1
avatar+128794 
+1

Here's what I get.....

 

4 and  10  =  16  possible pairs

4  and  Jacks  = 16 possible pairs

4  and   Queens = 16 possible pairs

4  and   Kings =  16 possible pairs

5 and 9   =  16 possible pairs

6 and 8  = 16 possible pairs

7s = 4C2 =  6 possible pairs

 

16*6 + 6 =  102 possible pairs

 

cool cool cool

 Apr 7, 2024
 #2
avatar+214 
+1

I'm sorry, that isn't the right answer, do you think you did something wrong?

edited by aboslutelydestroying  Apr 7, 2024
 #3
avatar+128794 
+1

I'm not that good at these counting problems so I'm not sure of  my error

 

cool cool cool

CPhill  Apr 8, 2024
 #4
avatar+214 
+1

Alright, thanks for trying. I will try to solve it on my own.smiley


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