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\frac{355687428096000}{12!\times 5!}
The factorial of 17 is 355687428096000.
\frac{355687428096000}{479001600\times 5!}
The factorial of 12 is 479001600.
\frac{355687428096000}{479001600\times 120}
The factorial of 5 is 120.
\frac{355687428096000}{57480192000}
Multiply 479001600 and 120 to get 57480192000.
6188
Divide 355687428096000 by 57480192000 to get 6188.