Question

    In how many ways can the selection of 4 boys and 3 girls can be made from a group of 6 boys and 6 girls?

    A 90 Correct Answer Incorrect Answer
    B 720 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 120 Correct Answer Incorrect Answer

    Solution

    Selection of 4 boys from 6 boys = 6C4 = 6!/(4! ×2!) = 15 Selection of 3 girls from 6 girls = 6C3 = 6!/(3! ×3!) = 5 Required number of ways = 15 × 5 = 75

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