2024 AMC 12B Problems/Problem 16: Difference between revisions
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==Problem 16== | |||
A group of <math>16</math> people will be partitioned into <math>4</math> indistinguishable <math>4</math>-person committees. Each committee will have one chairperson and one secretary. The number of different ways to make these assignments can be written as <math>3^{r}M</math>, where <math>r</math> and <math>M</math> are positive integers and <math>M</math> is not divisible by <math>3</math>. What is <math>r</math>? | |||
<math> | |||
\textbf{(A) }5 \qquad | |||
\textbf{(B) }6 \qquad | |||
\textbf{(C) }7 \qquad | |||
\textbf{(D) }8 \qquad | |||
\textbf{(E) }9 \qquad</math> | |||
[[2024 AMC 12B Problems/Problem 16|Solution]] | |||
Revision as of 01:05, 14 November 2024
Problem 16
A group of 
people will be partitioned into 
indistinguishable -person committees. Each committee will have one chairperson and one secretary. The number of different ways to make these assignments can be written as 
, where 
and 
are positive integers and is not divisible by 
. What is ?
