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\frac{1307674368000}{10!\times 5!}
The factorial of 15 is 1307674368000.
\frac{1307674368000}{3628800\times 5!}
The factorial of 10 is 3628800.
\frac{1307674368000}{3628800\times 120}
The factorial of 5 is 120.
\frac{1307674368000}{435456000}
Multiply 3628800 and 120 to get 435456000.
3003
Divide 1307674368000 by 435456000 to get 3003.