# 13-card bridge hand is drawn from a deck of 52 cards

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?:

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What have you tried? –  joriki Jul 29 '12 at 21:55
First you have to decide whether order matters: it will make a difference of a factor of $13!=6227020800$ to your answers –  Henry Jul 29 '12 at 22:36
@Henry, it's a bridge hand, so presumably all that matters is the set of cards you wind up with, not the order in whcih you acquire them. –  Gerry Myerson Jul 30 '12 at 0:02