A school has 8 teachers. One of them is the headmaster (a) How many committees of 5 can be formed? (b) How many of them have the headmaster as a member?

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Solution

There are 8 teachers in the school; one of them is the headmaster.

(a) The number of ways of forming a committee of 5 is given by .

Possible number of ways

(b) We also need to find the number of committees which have the headmaster as a member.

Number of committees

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