KVPY Sample Paper KVPY Stream-SX Model Paper-5

  • question_answer
    The number of ways in which a mixed double game can be arranged from 9 married couples if no husband and wife play in the same game is

    A) 756                              

    B) 1512

    C) 3024                            

    D) None of these

    Correct Answer: B

    Solution :

    [b] We have, 9 married couples. We can select two men out of 9 in \[{}^{9}{{C}_{2}}\] ways. Since no husband and wife are to play in the same game, two women out of the remaining 7 can be chosen in \[{}^{7}{{C}_{2}}\]ways. If \[{{M}_{1}},\]\[{{M}_{2}},\]\[{{W}_{1}}\]\[{{W}_{2}}\] are chosen, then a team consist of \[{{M}_{1}}{{W}_{1}}\] and \[{{M}_{2}}{{W}_{2}}.\] Thus, the number of ways of arrangement is \[{}^{9}{{C}_{2}}\times {}^{7}{{C}_{2}}\times 2=1512.\]

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