ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

  • google app store apple app store
  • тЬЦ

      Question

      A team of 6 players is to be selected from 7 men and 5

      women. In how many ways can a team be formed such that at least 4 men are included?
      A 462 Correct Answer Incorrect Answer
      B 372 Correct Answer Incorrect Answer
      C 492 Correct Answer Incorrect Answer
      D 402 Correct Answer Incorrect Answer
      E 432 Correct Answer Incorrect Answer

      Solution

      We consider possible cases where the number of men is at least 4.

      Case I: 4 men and 2 women:
      7 C 4 ├Ч 5 C 2 = 35 ├Ч 10 = 350

      Case II: 5 men and 1 woman:
      7 C 5 ├Ч 5 C 1 = 21 ├Ч 5 = 105

      Case III: 6 men and 0 women:
      7 C 6 ├Ч 5 C 0 = 7 ├Ч 1 = 7

      Total = 350 + 105 + 7 = 462 ways

      Practice Next
      More Permutation and combination Questions
      ask-question