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

Correct answer: A. 165

  • A. 165
  • B. 185
  • C. 205
  • D. 225

Explanation

There are 5 + 6 = 11 committee members, and selecting 8 without regard to order gives 11C8 = 11C3 = (11 x 10 x 9)/(3 x 2 x 1) = 165 ways. The likely trap is option b, 185, from using an incorrect combination value or treating the selection as ordered.

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