A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans.
Question:
A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that
(a) All nationalities are represented;
(b) All nationalities except the Italians are represented.
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