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What is the probability that a hand of eight cards dealt from a shuffled pack contains:...

What is the probability that a hand of eight cards dealt from a shuffled pack contains:
a) exactly three cards of the same value and the remaining cards all from the remaining suit
(for example, ♥ 4, ♦ 4, ♠ 4 and five clubs not including the ♣ 4);
b) exactly three cards in at least one of the suits;
c) exactly three cards in exactly one of the suits. (Hint. First find the number of ways in
which five cards can be chosen from three specified suits, with none of the three represented
by three cards.)

Math   Advanced-Math   
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