Question

If 8 new teachers are to be divided among 4 schools, how many divisions are possible?What if each school must receive 2 teachers?

Answer 1

Answer: a) 65536, b) 2520.

Step-by-step explanation:

Since we have given that

Number of new teachers = 8

Number of schools = 4

So, the number of divisions that are possible is given by

$4^8=65536$

If each school must receive 2 teachers.

So, the number of ways would be

$^8C_2\times ^6C_2\times ^4C_2\times ^2C_2\\\\=2520$

Hence, a) 65536, b) 2520.