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      Question

      A team of 10 members is to be formed from 9 engineers and 6

      doctors. Find the number of ways the team can be formed with at least 8 engineers.
      A 135 Correct Answer Incorrect Answer
      B 138 Correct Answer Incorrect Answer
      C 141 Correct Answer Incorrect Answer
      D 144 Correct Answer Incorrect Answer
      E 150 Correct Answer Incorrect Answer

      Solution

      Case I: 8 engineers and 2 doctors
      Number of ways = 9C8 Γ— 6C2 = 9 Γ— 15 = 135 ways
      Case II: 9 engineers and 1 doctor
      Number of ways = 9C9 Γ— 6C1 = 1 Γ— 6 = 6 ways
      Total number of ways = 135 + 6 = 141 ways

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