Question

The President must assign ambassadors to seven different foreign embassies. From a pool of eight candidates,...

The President must assign ambassadors to seven different foreign embassies. From a pool of eight candidates, how many different diplomatic teams can she form?

Determine the appropriate counting technique. Choose the correct answer below.

A. Permutations should be used because we make selections from a group of choices.

B. Arrangements with repetition should be used because no item may be selected more than once and the order matters.

C.Combinations should be used because no item may be selected more than once and the order does not matter.

D.Arrangements with repetition should be used because we make selections from a group of choices.

E.Permutations should be used because no item may be selected more than once and the order matters.

Calculate how many different diplomatic teams are possible. ____

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Answer #1

Permutations should be used because no item may be selected more than once and the order matters. Option E is correct.

Number of different diplomatic teams possible = 8P7 = 8! / (8 - 7)! = 8! = 40320

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