J & K CET Engineering J and K - CET Engineering Solved Paper-2003

  • question_answer
    There are n different books and m copies of each in a college library. The number of ways in which a student can make a selection of one or more books is

    A)  \[{{(m+1)}^{n}}\]

    B)  \[\frac{(mn)!}{{{(m!)}^{n}}}\]

    C)  \[^{mn}{{C}_{n}}{{\times }^{n}}{{C}_{1}}\]

    D)  \[{{(m+n)}^{n}}-1\]

    Correct Answer: D

    Solution :

    There are \[(m+1)\]choices for each of n different books. So, the total number of choices is \[{{(m+1)}^{n}}\] including one choice in which we do not select any book. Hence, the required number of ways is \[{{(m+1)}^{n}}\].


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