There are 13 different kinds of cards, so the total number of

combinations possible if we choose 2 cards is

There are 48 possible choices for the 3rd card, 44 possible

choices for the 4th card and 40 possible choices for the

5th card, but the last 3 cards can be chosen in any

order so we have to divide by the number of possible

arrangements for 3 cards, 3!=6. So, we have