JEE Main 2022 · 26 Jul · Shift 1 · Mathematics Q22

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MathematicsInteger+4 / -1Question 22 of 90

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

Your answer

Answer and worked solution

Official answer: 180

Digit multisets with product 36 using five digits: $\{9,4,1,1,1\}$ 20, $\{9,2,2,1,1\}$ 30, $\{6,6,1,1,1\}$ 10, $\{6,3,2,1,1\}$ 60, $\{4,3,3,1,1\}$ 30, $\{3,3,2,2,1\}$ 30.

Total 180.

Answer: 180

Topics:Distribution and arrangements

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JEE Main 2022 · 26 Jul · Shift 1, Mathematics question 22