Q. The number of ways in which a committee can be formed of 5 members from 6 men and 4 women if the committee has at least one woman, is
A) 186
B) 246
C) 252
D) 244
Explanation
(b)
Required number of ways
$= \ ^{4}C_{1} \times \ ^{6}C_{4} + \ ^{4}C_{2} \times \ ^{6}C_{3} + \ ^{4}C_{3} \times \ ^{6}C_{2} + \ ^{4}C_{4} \times \ ^{6}C_{1}$
$= 60 + 120 + 60 + 6$
$= 246$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.