Question

In how many ways can a pack of 52 cards be
(a) divided equally among four players in order
(b) formed into 4 groups of 13 cards each
(c) divided into 4 sets, three of them having 17 cards each and the fourth just 1 card.

Answer 1

(a) $\frac{52!}{(13!{)}^4}$
(b) $\frac{52!}{(13!{)}^{4}4!}$
(c) $\frac{52!}{(17!{)}^3.1!3!}$