A friend posed these three problems, which apparently relate to some
Chinese card game, but they are beyond what I remember of combinatorics

If you deal 13 cards from a regular deck, what are the odds of getting

a)  6 pairs 
b) 5 cards of one suit, 5 of another, 3 of a third, and none of a
fouith?
c) Two series of 5 cards in straight order, and one series of 3 cards
in straight order?


Thanks in advance.....

Peter
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