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JEE Main & Advanced Sample Paper JEE Main Sample Paper-18

  • question_answer
    A question paper on mathematics consists of twelve questions divided into three parts A, B and C, each containing four questions. In how many ways can an candidate answer five questions, selecting at least one from each part?

    A)  624                                       

    B)  208

    C)  2304                     

    D)  none

    Correct Answer: A

    Solution :

     The selection from sections is either 1, 2, 2 or 1, 1, 3. Hence number of ways \[=3\,({}^{4}{{C}_{2}}\,.\,{}^{4}{{C}_{2}}\,.\,{}^{4}{{C}_{1}})+3\,({}^{4}{{C}_{1}}\,.\,{}^{4}{{C}_{1}}\,.\,{}^{4}{{C}_{3}})\] \[=432+194=624\]


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