Free Practice Question
PS · Problem Solving
sub-505
Combinations
A committee focused on academic integrity has 72 different ways to choose a president and a vice president from a pool of candidates. The same individual cannot hold both positions. How many candidates are there?
Answer Choices
Correct answer marked belowA
6
B
7
C
8
9
Correct
E
10
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Explanation
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Official Explanation
Official
A committee focused on academic integrity has 72 different ways to choose a president and a vice president from a pool of candidates. The same individual cannot hold both positions. How many candidates are there? Let t = TOTAL number of candidates. The number of ways to select a president = x. The number of ways to select a vice president = x - 1. Therefore,…
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A
AliAug 17, 2024
Thank for sharing!!!
R
RupinderNov 30, 2024
Thankss
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
sub-505
Type
PS
Category