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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.)

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Solution Summary

This solution shows how the permutation problem is solved. How many different groups of three representatives are possible are given.

Solution Preview

a. There are totally 7 + 5 + 4 = 16 people. So to build a group of 3, there are 16 * 15 * 14 = 3360 ...

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