JEE Main 2022 Mathematics question
The number of 5-digit natural numbers, such that the product of their digits is 36, is .
Answer: 180
Solution
. The multisets of five digits (from 1 to 9) with product 36 are {1, 2, 2, 3, 3}, {1, 1, 3, 3, 4}, {1, 1, 2, 2, 9}, {1, 1, 1, 4, 9}, {1, 1, 2, 3, 6} and {1,
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