A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

A. 165
B. 185
C. 205
D. 225
Explanation:
Total number of persons in the committee = 5 + 6 = 11
Number of ways of selecting group of eight persons = ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2) = 165 ways.