A standard 52 card deck of cards is shuffled and then 10 card hand is dealt from deck. how many different outcomes are possible that have exactly 2 pairs, and all other cards of different denominations? note that a pair consists of two cards of the same denomination, and each pair must be of a different denomination. An example of a 5 card hand with 2 pairs is: 7 of hearts, 7 of clubs, 9 of diamonds, 9 of clubs, and Queen of spades.

Question

A standard 52 card deck of  cards is shuffled and then 10 card hand is dealt from deck. how many different outcomes are possible that have exactly 2 pairs, and all other cards of different denominations? note that a pair consists of two cards of the same denomination, and each pair must be of a different denomination. An example of a 5 card hand with 2 pairs is: 7 of hearts, 7 of clubs, 9 of diamonds, 9 of clubs, and Queen of spades.