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

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

JEE MainJEE Main 2022Permutations and Combinations

Solution:

$3 \times \frac{5 !}{2 ! 2 !}+\frac{5 !}{3 ! \times 2 !}+\frac{5 !}{2 !}+\frac{5 !}{3 !}=180$