Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    There are P copies of n-different books. The number of different ways in which a non-empty selection can be made from them, is

    A) \[{{(P+1)}^{n}}-1\]                         

    B) \[{{P}^{n}}-1\]

    C) \[{{(P+1)}^{n-1}}-1\]     

    D)         None of these

    Correct Answer: A

    Solution :

    Number of selections of any number of copies of a book\[=P+1\], (because copies of the same book are identical things). Similarly, for each book. \[\therefore \] Total number of selections                 \[=(P+1)(P+1)...\]... to\[n\]factors                 \[={{(P+1)}^{n}}\] But this includes a selections which is empty ie, zero copy of each is selected. Excluding this, the required number of non-empty selections                 \[={{(P+1)}^{n}}-1\]


You need to login to perform this action.
You will be redirected in 3 sec spinner