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A standard deck of playing cards has  cards divided into four suits (clubs, diamonds, hearts, spades). Each suit consists of nine "number cards," each containing a different number from  to , 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 . Jacks, queens and kings each have a value of , aces each have a value of , and all number cards have a value of the number shown. How many different unordered pairs of two cards sum to  in a standard -card deck?

 May 31, 2020
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There are 488 pairs of cards that work.

 Jul 12, 2020

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