In a school there are 8 teachers including the headmaster.In how many ways can a committee of 5 teacher can be formed without the headmaster ?

1 Answer
Jan 5, 2018

21 different ways of forming a committee

Explanation:

In order to perform this problem, we must use a certain type of equation. We must use the combination equation. The equation reads as so:
#NcR= (N!)/(((N-R)!)*R!)#
In our circumstance, N is the number of teachers excluding the headmaster and R is the number of teachers who can be on the committee.
By simply plugging in N and R, we get NcR as 21.