JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Critical Thinking Questions

  • question_answer The number of positive integral solutions of \[a\,b\,c=30\]is [UPSEAT 2001]

    A) 30

    B) 27

    C) 8

    D) None of these

    Correct Answer: B

    Solution :

    We have, 30 = 2 × 3 × 5. So, 2 can be assigned to either a or b or c i.e. 2 can be assigned in 3 ways. Similarly, each of 3 and 5 can be assigned in 3 ways. Thus, the no. of solutions are 3 × 3 × 3 = 27.


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