Q. From a group of 8 boys and 3 girls, a committee of 5 members to be formed. Find the probability that 2 particular girls are included in the committee
A) $\frac{4}{11}$
B) $\frac{2}{11}$
C) $\frac{6}{11}$
D) $\frac{8}{11}$
Explanation
(b)
Total number of ways$= \ ^{11}C_{5} = 462$
Number of ways in which 2 particular girls are included
$\ ^{9}C_{3} = 84$
$\therefore$Required probability$= \frac{84}{462} = \frac{2}{11}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.