Question

The President must assign ambassadors to eight different foreign embassies. From a pool of eleven 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. Permutations should be used because no item may be selected more than once and the order matters.
C. Arrangements with repetition should be used because we make selections from a group of choices.
D. Arrangements with repetition should be used because no item may be selected more than once and the order matters.
E. Combinations should be used because no item may be selected more than once and the order does not matter

Answer 1

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

Step-by-step explanation:

To determine the number of different diplomatic teams that can be formed from a pool of eleven candidates to be assigned to eight different foreign embassies, we need to use permutations. Permutations should be used because no item may be selected more than once and the order matters. In this case, the team of ambassadors will be different depending on which candidate is assigned to which embassy. So, the answer is B. Permutations should be used because no item may be selected more than once and the order matters.