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2024 AMC 10B Problem 22

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2024 AMC 10B Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Basic Counting · difficulty 4 of 5 · about 5 min · position P21-25

A group of $16$ people will be partitioned into $4$ indistinguishable $4$ -person committees. Each committee will have one chairperson and one secretary. The number of different ways to make these assignments can be written as $3^{r}M$ , where $r$ and $M$ are positive integers and $M$ is not divisible by $3$ . What is $r$ ?

A)
$5$
B)
$6$
C)
$7$
D)
$8$
E)
$9$

2024 AMC 10B Problem 22

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