Question Number 149955 by jlewis last updated on 08/Aug/21

If a group consist of 8 men and 6 women, in how many ways can a committee of 5 be selected if: i) the committee is to consist of 3 men and 3 women. ii) there are no restrictions on the number of men and women on the committee. iii) at least one man

Answered by mr W last updated on 08/Aug/21

i) C_3 ^8 ×C_3 ^6 =1120 ways ii) C_6 ^(14) =3003 ways iii) C_6 ^(14) −C_6 ^8 −C_1 ^6 C_5 ^8 =2639 ways

Commented byjlewis last updated on 08/Aug/21

hello sir,i gauze it was a commettee of 5 not 6

Commented byjlewis last updated on 08/Aug/21

and also if u are asked.at least one of each sex

Commented bymr W last updated on 09/Aug/21

you said i) the committee is to consist of 3 men and 3 women. so i assumed that the committee consists of 6 people.

Commented bymr W last updated on 09/Aug/21

you said iii) at least one man which doesn′t mean at least one of each sex.