Solve 25!/25!20!

$$\frac { 25 ! } { 25 ! 20 ! }$$

Evaluate

$$\frac{1}{2432902008176640000}\approx 4.110317623 \cdot 10^{-19}$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{25!\times 20!}$$

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{15511210043330985984000000\times 20!}$$

The factorial of 20 is 2432902008176640000.

$$\frac{15511210043330985984000000}{15511210043330985984000000\times 2432902008176640000}$$

Multiply 15511210043330985984000000 and 2432902008176640000 to get 37737254063669622951147441236213760000000000.

$$\frac{15511210043330985984000000}{37737254063669622951147441236213760000000000}$$

Reduce the fraction \frac{15511210043330985984000000}{37737254063669622951147441236213760000000000} to lowest terms by extracting and canceling out 15511210043330985984000000.

$$\frac{1}{2432902008176640000}$$

Factor

$$\frac{1}{2 ^ {18} \cdot 3 ^ {8} \cdot 5 ^ {4} \cdot 7 ^ {2} \cdot 11 \cdot 13 \cdot 17 \cdot 19} = 4.110317623312165 \times 10^{-19}$$