Question

how many different committees can be formed each consisting of four men and 4 women from pool of 9 men and 10 women​

Answer 1

Answer:

16

How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?

210

We are to determine the number of 4 member committees that can be formed from 10 people. This is simple combination problem since order is not important here. So Number of ways = 10C4 = 210.

Answer 2

A) 3 of 10 is (103)=10.9.83.2.1=10.3.4=120(103)=10.9.83.2.1=10.3.4=120.

B) 3 of 6 is (63)=6.5.43.2.1=5.4=20(63)=6.5.43.2.1=5.4=20.

C) The probability that a committee is of 3 men is 20/120=1/6.

D) Two men and one woman can be chosen in (62)(41)=6.52.141=15.4=60(62)(41)=6.52.141=15.4=60.

E) The probability is 60/120=1/2.