Permutations for selecting representatives

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A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.

a. How many different groups of 3 representatives are possible? 3360

b. How many groups are possible if any number (at least 1) up to 3 representatives can form a group? (Each department is still restricted to at most one representative.)

Reference no: EM13126060

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