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Number of 4-digit positive integer, if the product of their digit is divisible by 3, is

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answer is C.

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Detailed Solution

First, we have to find 4-digit numbers whose digits product is divisible by 3.
At least one of the digits is divisible by 3.

Thus, no digit is divisible by 3 →0,3,6,9 must not appear.
That is, Numbers should be formed using only 1,2,4,5,7,8=6 numbers.

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