JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        Eight chair are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chair marked 1 to 4; and then the men select the chairs from amongst the remaining.   The   number   of  possible arrangements is

    A)  \[^{6}{{C}_{3}}{{\times }^{4}}{{C}_{2}}\]                              

    B)  \[^{4}{{P}_{2}}{{\times }^{6}}{{P}_{3}}\]

    C)  \[^{4}{{C}_{2}}{{\times }^{4}}{{P}_{3}}\]                              

    D)  None of these

    Correct Answer: B

    Solution :

                    Since, first the 2 women Select the chairs amongst 1 to 4 in\[^{4}{{P}_{2}}\]ways. Now, from the remaining 6 chairs three men could be arranged in\[^{6}{{P}_{3}}\]. \[\therefore \]Total number of arrangements \[{{=}^{4}}{{P}_{2}}{{\times }^{6}}{{P}_{3}}\]


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