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