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    Question

    From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?

    A 640 Correct Answer Incorrect Answer
    B 840 Correct Answer Incorrect Answer
    C 560 Correct Answer Incorrect Answer
    D 720 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Required Number of ways = 6C3 × 8C2 = 6!/(3! ×3!)  ×  8!/(2! ×6!) = 20 × 28 = 560

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