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\frac{362880}{8!+7!}
The factorial of 9 is 362880.
\frac{362880}{40320+7!}
The factorial of 8 is 40320.
\frac{362880}{40320+5040}
The factorial of 7 is 5040.
\frac{362880}{45360}
Add 40320 and 5040 to get 45360.
8
Divide 362880 by 45360 to get 8.