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The number of 5-digit natural numbers, such that the product of their digits is 36, is………

0 2 Views | Posted 2 months ago
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    Answered by

    Vishal Baghel | Contributor-Level 10

    2 months ago

    Factors of 36 = 22.32.1

    Five-digit combinations can be

    (1, 2, 3, 3), (1, 4, 3, 1), (1, 9, 2, 1), (1, 4, 9, 11), (1, 2, 3, 6, 1), (1, 6, 1, 1)

    i.e., total numbers 5!   5!2!   2!+5!2!   2!+5!2!   2!+5!3!+5!2!+5!3!  2!= (30×3)+20+60+10=180.

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