JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Multinomial Theorem, Number of Divisors, Miscellaneous problems

  • question_answer
    If \[a,\ b,\ c,\ d,\ e\] are prime integers, then the number of divisors of \[a{{b}^{2}}{{c}^{2}}de\] excluding 1 as a factor, is

    A) 94

    B) 72

    C) 36

    D) 71

    Correct Answer: D

    Solution :

    The numbers of divisors \[=(1+1)(2+1)(2+1)(1+1)(1+1)-1=71\].


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