Question

A president and vice president will be selected from among 35 members of a board. Should permutations or combinations be used when determining the number of possible ways these offices can be filled?

A)Combinations should be used because a president is the same as a vice president.
B)Combinations should be used because a president is different from a vice president.
C)Permutations should be used because a president is the same as a vice president.
D)Permutations should be used because a president is different from a vice president.

Answer 1

The correct answer is D.

Answer 2

Answer: D) Permutations should be used because a president is different from a vice president.

Explanation:

We know that Permutation is a method of arranging the elements of a set in an order or a sequence i.e. order matters.

On the other hand Combination is a selection of elements of a set the order doesn't matter. It .

Given statement : A president and vice president will be selected from among 35 members of a board. here order matters as none of them can be selected for more than one post.

Therefore, Permutations should be used because a president is different from a vice president.