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The number of ways in which we can arran...

The number of ways in which we can arrange the digits 1,2, 3....9 such that the product of five digits at any of the five consecutive positions is divisible by 7 is

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Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. 7! b. 2.(7!) c. ^7C_4 d. none of these