A school committee of 5 is to be formed from 7 male teachers, 6 female teachers, and the principal. In how many ways can the committee be formed if it must include exactly 3 male teachers and 2 female

Here are the solutions to the questions: 6. (ii) A school committee of 5 is to be formed from 7 male teachers, 6 female teachers, and the principal. a) In how many ways can the committee be formed if it must include exactly 3 male teachers and 2 female teachers? Step 1: Choose 3 male teachers from 7. Number of ways = 73 = (7!)/(3!(7-3)!) = (7 × 6 × 5)/(3 × 2 × 1) = 35. Step 2: Choose 2 female teachers from 6. Number of ways = $62 =