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      Question

      From 7 experienced and 4 fresher candidates, a panel of

      8 is to be made. How many ways can the panel be formed if it includes at least 6 experienced candidates?
      A 40 Correct Answer Incorrect Answer
      B 44 Correct Answer Incorrect Answer
      C 46 Correct Answer Incorrect Answer
      D 48 Correct Answer Incorrect Answer

      Solution

      Case I: 6 experienced and 2 freshers
      Number of ways = 7C6 ├Ч 4C2 = 7 ├Ч 6 = 42 ways
      Case II: 7 experienced and 1 fresher
      Number of ways = 7C7 ├Ч 4C1 = 1 ├Ч 4 = 4 ways
      Total number of ways = 42 + 4 = 46 ways

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