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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

The total number of six digit numbers, formed using the digits only and divisible by , is

Answer: 81

Solution

A number divisible by is even and has a digit sum divisible by ; the only even digit is , so the last digit is . The digits leave remainders modulo ; with the last digit contributing , the

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Question ID VK-020908