JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    A man has 10 friends. In how many ways he can invite one or more of them to a party [AMU 2002]

    A) \[10\,!\]

    B) \[{{2}^{10}}\]

    C) \[10\,!\,-\,1\]

    D) \[{{2}^{10}}-1\]

    Correct Answer: D

    Solution :

    Required number of ways = \[{{2}^{10}}\] - 1 (Since the case that no friend be invited i.e., \[^{10}{{C}_{0}}\] is excluded).


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