Question

committee of 4 is choosen from 8 mens and 6 womens determine the number of ways of selecting the commitee .if (1) there are no restructions. (2) it must contain 2 mens and 2 womens . (3) it must contain all men.​

Answer 1

(1) if there are no restrictions

then we have to select 4 out of 14

that is C(4,14)

(2) it must contain 2 men and 2 women

then we must first select 2 men then 2 women

to do this we have C(2,8) × C(2,6)

(3) IT MUST CONTAIN ALL MEN

that it all 4 has to be men

then C(4,8)

CALCULATIONS IS ALL YOURS