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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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