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A school administrator will assign each student in a group of \(N\) students to one of \(M\) classrooms. If \(3<M<13<N\)

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by Vincen » Sat Jan 30, 2021 9:34 pm

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B

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E

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Difficulty—

A school administrator will assign each student in a group of \(N\) students to one of \(M\) classrooms. If \(3<M<13<N,\) is it possible to assign each of the \(N\) students to one of the \(M\) classrooms so that each classroom has the same number of students assigned to it?

(1) It is possible to assign each of \(3N\) students to one of \(M\) classrooms so that each classroom has the same number of students assigned to it.

(2) It is possible to assign each of \(13N\) students to one of \(M\) classrooms so that each classroom has the same number of students assigned to it.

Answer: B

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