Four players named A B C and D are playing a card game A sta

Four players, named A, B, C, and D, are playing a card game. A standard, well-shuffled deck of cards is dealt to the players (so each player receives a 13-card hand).

(a) How many possibilities are there for the hand that player A will get? (Within a hand, the order in which cards were received doesn\'t matter.)

(b) How many possibilities are there overall for what hands everyone will get, assuming that it matters which player gets which hand, but not the order of cards within a hand?

Solution