Question -
Answer -
Number of ways toappoint one principal, vice-principal and the teacher incharge is equal to thenumber of ways to select the three teachers from 36 members.
So, a total of threepositions are to be appointed.
Number of ways toselect principal is 36C1 = 36
Number of ways toselect vice-principal is 35C1 = 35 (35, sinceone position is already given)
Number of ways toselect teacher in charge is 34C1 (34, since twopositions are already given)
Hence, number of waysto appoint three teachers is 36C1 × 35C1 × 34C1 =36 × 35 × 34 = 42840.