JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2007

  • question_answer
        The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty, is

    A)  5                                            

    B) \[-21\]

    C)  \[{{3}^{8}}\]                                     

    D) \[^{8}{{C}_{3}}\]

    Correct Answer: B

    Solution :

                    The required number of ways\[{{=}^{8-1}}{{C}_{3-1}}\] \[{{=}^{7}}{{C}_{2}}=\frac{7!}{2!5!}\] \[=\frac{7.6}{2.1}=21\]


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