The school has recruited five teachers: A, B, C, D and E.

Each school has at least 1 student and at most 2 students, so it must be 2+2+ 1.

A * * * has 5C 1*4C2/2*3A3=90 kinds.

Among them, there are 3C2*3A3= 18 species in total.

So it is 90- 18=72.

Divide by 2 after 4C2, because the remaining ABCD4 people actually want to be divided into 2+2 groups, and choosing AB is the same as choosing CD.