JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    A student is to answer \[10\] out of \[13\] questions in an examination such that he must choose atleast \[4\] from the first five questions. The number of choices available to him is

    A) \[140\]                                 

    B) \[196\]

    C) \[280\]                                 

    D)  \[346\]

    Correct Answer: B

    Solution :

    As for given question, two cases are possible. (i) Selecting 4 out of first 5 questions and 6 out of remaining 8 questions                 \[{{=}^{5}}{{C}_{4}}{{\times }^{8}}{{C}_{6}}=140\]choices (ii) Selecting 5 out of first 5 questions and 5 out of remaining 8 questions                 \[{{=}^{5}}{{C}_{5}}{{\times }^{8}}{{C}_{5}}=56\]choices \[\therefore \]Total number of choices\[=140+56=196\]


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