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    Question

    In how many ways will a team of 5 people be selected out

    of 12 people such that a specific person will always be selected, and a specific person will always remain?
    A 192 Correct Answer Incorrect Answer
    B 119 Correct Answer Incorrect Answer
    C 145 Correct Answer Incorrect Answer
    D 210 Correct Answer Incorrect Answer

    Solution

    total people =12 1 always must choose which means now we must choose from the remaining 11. 4 players. But 1 player is never chosen it means 4 to choose from (11-1=10) =10C4 =10! / (4! ×6!) = (10×9×8×7)/ (4×3×2×1) =210.

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