KVPY Sample Paper KVPY Stream-SX Model Paper-31

  • question_answer
    How many 9 digit number can be formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4, such that odd numbers occur at even places.

    A) 160

    B) 175

    C) 180

    D) 220

    Correct Answer: C

    Solution :

    \[1,1,2,2,2,2,3,4,4\]
    odd numbers occur at even places
    \[\]
    \[^{4}{{C}_{3}}\times \frac{3!}{2!}\times \frac{6!}{4!2!}=4\times 3\times 15=180.\]


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