JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

The total number of three-digit numbers, divisible by , which can be formed using the digits , if repetition of digits is allowed, is

Answer: (D)

Solution

A number is divisible by iff its digit sum is, so look at the digits by remainder mod : , , and (two digits). Remainders with sum

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Question ID VK-020883