JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    Of all the five-digit numbers that can be formed with the digits 0, 1, 3, 5, 7 and 9 without repetition of the digits, a number is randomly selected. The probability that it is divisible by 10, is

    A)  \[\frac{3}{20}\]           

    B)                                     \[\frac{2}{5}\]

    C)  \[\frac{1}{5}\]  

    D)                     \[\frac{1}{4}\]

    Correct Answer: C

    Solution :

    \[n(S)\,=6!-5!\,=600\,\,\] (think!)             \[n(A)\,{{=}^{5}}{{C}_{4}}\,.4!=120\] (think!)             \[P(A)\,=\frac{120}{600}=\frac{1}{5}\]


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