Question

    Salman has a list of 12 friends. He wishes to invite some of them in such a manner that he can enjoy maximum number of parties, but in each party the numberof  friends (i.e., invitees) be same and each party must have different set of person. Then how many parties can Salman?

    A 924 Correct Answer Incorrect Answer
    B 360 Correct Answer Incorrect Answer
    C 1240 Correct Answer Incorrect Answer
    D 824 Correct Answer Incorrect Answer
    E 720 Correct Answer Incorrect Answer

    Solution

    If n is even, nCr is maximum when r = n/2  Number of invitees in a party = 12/2 = 6 and Maximum possible number of parties = 12C6 = 924            

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