In how many different number of ways a Committee of 4 person of can be selected from 6 boys and ...

In how many different number of ways a Committee of 4 person of can be selected from 6 boys and 4girls such that at least 1 girl is included in the committee

Quiz

Answer/Solution

195

Steps/Work

1G 3B 2G 2B 3G B 4G
= (4C1*6C3)+(4C2*6C2)+(4C3*6C1)+4C4
= (4*20)+(6*150+(4*6)+1
= 80+90+24+1=195
Total 5M 3W
10C4=210
6C4=15
At least one girl = total - with out girl
At least one girl = 210-15=195
A)