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A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

Correct answer: A. 20

  • A. 20
  • B. 54
  • C. 42
  • D. 60

Explanation

The two specified ladies are already included, so 3 more members must be chosen from the remaining 1 lady and 5 gentlemen, giving 6 people available. The number of delegations is ⁶C₃ = 20. The likely trap is 42, which does not properly account for the two fixed members.

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