JEE MATHEMATICS MCQ: PERMUTATIONS

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A seven-digit numbers divisible by 9 is to be formed by using 7 out of numbers

\{1,2,3,4,5, 6,7,8,9\}

. The number of ways in which this can be done, is

View answer and explanation

Correct option: D

4 \cdot 7!

Option D (

4 \cdot 7!

) is correct because there are 4 pairs of digits that can be excluded to make the sum of the remaining 7 digits divisible by 9, and each set of 7 digits can be arranged in 7! ways.

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