A president and vice president will be selected from among 35 members of a board. Should permutations or combinations be used wh

Question

4 years ago

13

A president and vice president will be selected from among 35 members of a board. Should permutations or combinations be used wh

en 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.

Mathematics

2 answers:

lesantik [10] · Answer 1 · 2022-02-08T07:16:23+03:00

lesantik [10]4 years ago

8 0

The correct answer is D.

Viefleur [7K] · Answer 2 · 2022-02-08T08:31:45+03:00

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

Step-by-step 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.