Solve 25!/17!(25-17)!*60^17

$$\frac { 25 ! } { 17 ! ( 25 - 17 ) ! } \cdot 60 ^ { 17 }$$

Evaluate

$$1830745168894033920000000000000000000$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{17!\left(25-17\right)!}\times 60^{17}$$

The factorial of 17 is 355687428096000.

$$\frac{15511210043330985984000000}{355687428096000\left(25-17\right)!}\times 60^{17}$$

Subtract 17 from 25 to get 8.

$$\frac{15511210043330985984000000}{355687428096000\times 8!}\times 60^{17}$$

The factorial of 8 is 40320.

$$\frac{15511210043330985984000000}{355687428096000\times 40320}\times 60^{17}$$

Multiply 355687428096000 and 40320 to get 14341317100830720000.

$$\frac{15511210043330985984000000}{14341317100830720000}\times 60^{17}$$

Divide 15511210043330985984000000 by 14341317100830720000 to get 1081575.

$$1081575\times 60^{17}$$

Calculate 60 to the power of 17 and get 1692665944473600000000000000000.

$$1081575\times 1692665944473600000000000000000$$

Multiply 1081575 and 1692665944473600000000000000000 to get 1830745168894033920000000000000000000.

$$1830745168894033920000000000000000000$$

Factor

$$2^{34}\times 3^{19}\times 5^{19}\times 11\times 19\times 23$$