Question

a standard 52 card deck of cards is shuffled and then a 12-card hand is dealt from the deck. How many different outcomes are possible that have exactly 3 pairs, and all other cards of different denominations?

Answer 1

10C6 is because you already chose 3 for the pairs and there is 10 cards left to pick from and then the 6 because you need 6 more cards to make 12 after the three pairs. and the 4C1*6 is for the suit of the remanding 6 card