A hand is a set of five cards chosen from a standard deck of cards (see Exercise 7(b))....

A hand is a set of five cards chosen from a standard deck of cards (see Exercise 7(b)).

Determine the number of

(a) possible hands.

(b) hands in which exactly one card is a heart.

(c) hands in which exactly one card is a heart and exactly one card is a diamond.

(d) hands in which exactly one card is a heart and at least one card is a diamond.

(e) hands in which exactly one card is a 7.

Reference : Exercise 7 (b)