in a school there are 15 teachers ( including physical education teacher ) and 5 captains of different things - Maths - Permutations and Combinations

Question

in a school there are 15 teachers ( including physical education
teacher ) and 5 captains of different things The principal wants to
form a games committe consisting of physical education teacher, 2
other teachers and 2 captains In how many ways can he do it

Anuradha Sharma · Accepted Answer

From the 15 teacher we have to select 1 physical and 2 other teacher so required way =15C3and from 5 captain we have to choose 2 captain so required way = 5C2SO total number of ways =15C3× 5C2

in a school there are 15 teachers ( including physical education teacher ) and 5 captains of different things. The principal wants to form a games committe consisting of physical education teacher, 2 other teachers and 2 captains. In how many ways can he do it.