Question

From 7 boys and 4 girls a committee of 6 members is to be formed. The number of ways in which the selection can be done when the committee contains atleast two girls is

• A. 210
• B. 220
• C. 371
• D. 480

Answer 1

The correct option is C 371

Boys (7)	Girls (4)	Number of ways of selection of 6
4	2	${}^7{C}_4{.}^4{C}_2=210$
3	3	${}^7{C}_3{.}^4{C}_3=140$
2	4	${}^7{C}_2{.}^4{C}_4=21$

Hence required number of ways $=210+140+21=371$