Q.3. A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways
can this be done when the committee consists of:
(ii) at least 3 girls?
There are 9 boys and 4 girls. A committee of 7 has to be formed.
(ii) at least 3 girls, there can be two cases :
(a) Girls =3, so boys in committee= 7-3=4
Thus, the required number of ways
(b) Girls =4, so boys in committee= 7-4=3
Hence, in this case, the number of ways = 504+84=588
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