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Numbers whose product of digits is a given value

This type of question, asked 2 times: 26 Jul 2022, 23 Jan 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    26 Jul 2022

    82
    The number of 5-digit natural numbers, such that the product of their digits is 36, is

  2. Question 2

    23 Jan 2026 S2

    75
    Let S denote the set of 4-digit numbers abcd such that a>b>c>da > b > c > d and P denote the set of 5-digit numbers having product of its digits equal to 20. Then n(S)+n(P)n(S) + n(P) is equal to........... .