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JAMB Mathematics 2000 Question 49

Question 49

Permutation and Combination

In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man and at least one woman must be included?

  1. A.15
  2. B.28
  3. C.30
  4. D.45
Show the answer and explanation

Answer: D (45)

Explanation

All choices of 3 from 8: 8C3 = 56. Remove the all-men choices (5C3 = 10) and the all-women choice (1): 56 − 10 − 1 = 45.