In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Pick:
A) 180
B) 185
C) 190
D) 195
E) 200
The committee of 4 persons is to be so formed that it has at least 1 woman The different ways that we can choose to form such a committee are:   (i) lw. 3 m in t 6X5X4' x 6C3 = 4x — — 80 3X2X1   x 6c2 =42:: x 26:: = 90 (ii) 2w. 2 m in °C2 (iii) 3w. 1 m in 4C3 x 6C1 = 4 x 6 = 24 (iv) 4w in 6C4 = 1 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least one woman. = 80 + 90 + 24 + 1= 
<gadget id="calculator">80 + 90 + 24 + 1</gadget>
<output>195</output>
195   195
<result>D</result>
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?