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\frac{355687428096000}{11!\times 6!}
The factorial of 17 is 355687428096000.
\frac{355687428096000}{39916800\times 6!}
The factorial of 11 is 39916800.
\frac{355687428096000}{39916800\times 720}
The factorial of 6 is 720.
\frac{355687428096000}{28740096000}
Multiply 39916800 and 720 to get 28740096000.
12376
Divide 355687428096000 by 28740096000 to get 12376.