JEE Main & Advanced JEE Main Paper Phase-I Held on 07-1-2020 Morning

  • question_answer
    Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is [JEE MAIN Held on 07-01-2020 Morning]

    A) \[\frac{1}{2}(6!)\]          

    B) \[\frac{5}{2}(6!)\]

    C) \[{{5}^{6}}\]              

    D) 6!

    Correct Answer: B

    Solution :

    [b] Exactly 1 digit will repeat which can be selected in \[^{5}{{C}_{1}}\] ways \[\therefore \] Total number of ways \[={{\,}^{5}}{{C}_{1}}.\frac{6!}{2!}=\frac{5}{2}(6!)\]


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