JEE Main 2022 Mathematics question
The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is
Answer: (4)
Solution
The number must be even and divisible by 3. The sum of all six digits is 1 + 2 + 3 + 5 + 6 + 7 = 24, so the omitted digit must be of the form 3k (3 or 6) to leave a digit sum divisible by 3. If 3 is
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