The number of ways in which we can arrange the digits such that the product of five digits at any of the five consecutive positions is divisible by 7 is
Let an arrangement of a digit number be . Note that we require product of each of is divisible by 7 .
This is possible if the 5th digit is 7 .
Therefore, we can arrange the 9 digits in desired number of ways in 8 ! ways.
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