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Discussion :: Permutation and Combination

  1. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
    2. A.

    266
    B.

    5040
    C.

    11760
    D.

    86400
    E.

    None of these

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    Answer : Option C

    Explanation :

    Required number of ways =(8C5 x 10C6)

                                           

                                            = (8C3 x 10C4)

                                             

                                            =\([\frac { 8*7*6 } { 3*2*1 }\)x\(\frac { 10*9*8*7 } { 4*3*2*1 }\)]

                                         

                                           = 11760

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