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    Question

    Determine the number of ways to form a Kabaddi team consisting of six players from a group of 7 male players and 5 female players. Specifically, calculate how many ways you can create a team that includes at least 4 female players.

    A 110 Correct Answer Incorrect Answer
    B 115 Correct Answer Incorrect Answer
    C 120 Correct Answer Incorrect Answer
    D 112 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Case I: 4 female players and 2 male players are there in the Kabaddi team. So, the number of ways = 5C4 × 7C2 = 5 × 21 = 105 ways Case II: 5 female players and 1 male player are there in the Kabbadi  team. So, the number of ways = 5C5 × 7C1 = 1 × 7 = 7 ways So, required total number of ways = 105 + 7 = 112 ways 

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