BCECE Engineering BCECE Engineering Solved Paper-2011

  • question_answer
    There are n different books and p copies of each. The number of ways in which a selection can be made from them, is

    A)  \[{{n}^{p}}\]                                         

    B)         \[{{p}^{n}}\]                         

    C)         \[{{(p+1)}^{n}}-1\]                              

    D)         \[{{(n+1)}^{p}}-1\]

    Correct Answer: C

    Solution :

    In case of each book we may take 0, 1, 2, 3,...,p  copies, i.e., we may deal with each book in \[(p+1)\]ways and therefore with all the books in\[{{(p+1)}^{n}}\]  ways. But this includes the case where all the books rejected and no selection is made. So, the number of ways in which selection can be made \[={{(p+1)}^{n}}-1\]


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