4
QuizMultiple Choice

Permutations and Combinations

Question 4 • Probability and Statistics 82974243 2026-2027 LEROP 9W1

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?

Answer
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.

Explanation

The two offices have different roles, so who is president and who is vice president matters. For example, switching two selected members between the offices creates a different outcome. Therefore, use permutations because a president is different from a vice president.

AI-written and checked against the verified answer.

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