A standard 52 card playing deck assigns a unique combination of 13 ranks (2,3,4,5,6,7,8,9,10,J,Q,K,A) and 4 suits (Clubs, Diamonds, Hearts, Spades) to each card (13*4=52). Suppose 10 cards are selected at random. Derive the probability that each of the following events occurs.
(a) Only 1 suit is represented.
(b) Exactly 2 suits are represented in equal number.
(c) No rank is represented more than once.
Carefully list the tasks used in the application of the rule of product .Please specify the answer. Thanks!