JEE Main & Advanced AIEEE Solved Paper-2007

  • question_answer
    The set S = {1, 2, 3,..., 12} is to be partitioned into three sets A, B, C of equal size. Thus, \[3KCl\] \[{{C}_{2}}{{H}_{5}}NC\]The number of ways to partition S is       AIEEE  Solved  Paper-2007

    A)  \[{{K}_{2}}C{{O}_{3}}\]       

    B)         \[{{C}_{2}}{{H}_{5}}NC\]             

    C)         \[3KCl\]      

    D)         \[C{{l}_{2}}\]

    Correct Answer: C

    Solution :

       Required number of ways\[{{=}^{12}}{{C}_{4}}{{\times }^{8}}{{C}_{4}}{{\times }^{4}}{{C}_{4}}\] \[=\frac{12!}{8!\times 4!}\times \frac{8!}{4!\times 4!}\times 1=\frac{12!}{{{(4!)}^{3}}}\]


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