Question

Out of 7 men and 4 women a committee of 5 is to be formed. The number of ways in which this can be done so as to include atleast 2 women is

• A. 210
• B. 301
• C. 294
• D. 84

Answer 1

The correct option is B 301

Men(7)	Women(4)	Number of ways
3	2	${}^7{C}_3{.}^4{C}_2=35\times 6=210$
2	3	${}^7{C}_2{.}^4{C}_3=21\times 4=84$
1	4	${}^7{C}_1{.}^4{C}_4=7$

		Hence total number of required ways $=210+84+7=301$