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    Question

    A team of 6 members is to be formed from a group of 7

    boys and 6 girls. Find the number of ways to form team such that the team consists of at most 3 girls.
    A 1432 Correct Answer Incorrect Answer
    B 1395 Correct Answer Incorrect Answer
    C 1358 Correct Answer Incorrect Answer
    D 1284 Correct Answer Incorrect Answer

    Solution

    Required number of ways = 6C3 × 7C3 + 6C2 × 7C4 + 6C1 × 7C5 + 7C6
    = 20 × 35 + 15 × 35 + 6 × 21 + 7
    = 700 + 525 + 126 + 7 = 1358

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