1. The problem statement, all variables and given/known data What is the probability that a hand of 8 cards dealt from a shuffled pack contains: b)exactly three cards in at least one of the suits. 2. Relevant equations 3. The attempt at a solution So 1)choose a suit (4 ways) 2)choose 3 cards from the 13 cards in the suit (C(13,3)) 3) choose remaining 5 cards from the remaining 3 suits. (C(39,5)). so we have 4C(13,3)C(39,5) Hence the probability is (4C(13,3)C(39,5))/C(52,8) where C(52,8) is the range of the possible set. But the top line is wrong, why?