（求助）数学OG12-128

aaapple

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.

答案是B，我选E，不是很理解意思。

xyhfun

each classroom has the same number of students assigned to it?说明N需能被M整除，即M的factors也都是N的

（1）3n能被M整除，说明M的factors也都是N的factors或者3

（2 ）13n能被M整除，说明M的factors也都是N的factors或者13,但是M<13,13不可能是M的factor。