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Divisibility by 3

Number of 9...

Question

Number of $9$ digits numbers divisible by nine using the digits from $0$ to $9$ if each digit is used at most once is $K \cdot 8!$ , then K has the value equal to _________.

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Solution

$9$ digit no $:$ divisible by $9,$ means the sum of digits is equal to that number which is divisible by $9.$

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