Hello this is my first posting so I hope I'm doing everything right!

Okay so here is the question

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What is the probability that a Bridge Hande (13 cards) contains:

a) 4 spades, 5 hearts, 3 diamonds, and 1 club

b) no spades?

c) a void? (at least one suit that is not represented)

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Now I think I answered the first one correctly, here it goes:

-----------Answers-----------

a) (13C4 * 13C5 * 13C3 * 13C1)/(52C13)

= 0.00538779

b) now im not sure for this one but (is it correct?)...

(39C13)/(52C13) = 0.01279094804

c) I thought that the answer to this would be the same as b) since one suit was not represented in b)

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Well thanks in advance to anyone who responds with some input, I'm not great at this stats stuff, and our prof is not giving great notes :S.

Edit: woops sorry, I didn't see that I was in the Elementary and middle school section, I will try to repost in the correct section if someone could delete this posting