A committee has 5 men and 6 women. What are the number of ways of selecting a gr

Question

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

Options:

A . 165

B . 185

C . 205

D . 225

Answer: Option A
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.

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