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      Question

      A team of 8 players is to be selected from a group of 7

      junior players and 6 senior players. In how many ways a team having at least 6 junior players can be selected?
      A 102 Correct Answer Incorrect Answer
      B 108 Correct Answer Incorrect Answer
      C 111 Correct Answer Incorrect Answer
      D 117 Correct Answer Incorrect Answer

      Solution

      Case I: 6 junior players and 2 senior players
      Number of ways = 7C6 × 6C2 = 7 × 15 = 105 ways
      Case II: 7 junior players and 1 senior player
      Number of ways = 7C7 × 6C1 = 1 × 6 = 6 ways
      Total number of ways = 105 + 6 = 111 ways

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