JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

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Analyzing +4 | -1

Among

9!

permutations of the digits

1,2,3, \ldots, 9

. Consider those arrangements which have the property that if we take any five consecutive positions, the product of the digits in those positions is divisible by 7, the number of such arrangements is

View answer and explanation

Correct option: C

8 !

Option C (

8 !

) is the correct answer because the digit 7 must be in the middle position, leaving 8! ways to arrange the remaining digits.

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