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JEE MATHEMATICS MCQ: PERMUTATIONS

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Analyzing +4 | -1
Let Sn=∑r=1nr!;(n>6)S_n=\sum\limits_{{r=1}}^n r ! ; (n > 6), then Sn−7[Sn7]S_n-7\left[\frac{S_n}{7}\right] (where, [ ] denotes the greatest integer function) is equal to
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Correct option: C
5
Option C (5) is the correct answer because the remainder when SnS_n is divided by 7 is 5 for n>6n > 6.

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