Question

the number of ways of selecting 4 women and 5 men from 10 women and 9 men if Mr.X refuses to be in the committee when Ms. Y is a member.​

Answer 1

Answer:

5880 ways

Step-by-step explanation:

Ms. Y is a member, means you have to choose 3 more women from the 9 that are left, i.e, $9c_{3}$ = 84

Mr. X refuses to be a member, means you still have to choose 5 men from the remaining 8 men, i.e, $8c_{4}$ = 70

Therefore the total no of ways through which you can create the committee is:

84 x 70 = 5880 ways