I am CS student and I have a Qualifying exam this September and I hope someone help me in this question:
Suppose a 13-card bridge hand is drawn from a deck of 52 cards. How many ways are there to obtain :
a. 13 cards of the same suit?
b. 5 spades, 4 clubs, 3 hearts, 1 diamond?
c. 5 cards of one suit, 4 cards of a second suit, 3 cards of a third suit and 1 card of a fourth suit?
d. exactly 3 aces?
e. 13 cards no two of which have the same number?: