Solve 6!/5!*38!/37!=

$$\frac{ 6 ! }{ 5 ! } \times \frac{ 38 ! }{ 37 ! } =$$

Evaluate

$$228$$

Solution Steps

The factorial of 6 is 720.

$$\frac{720}{5!}\times \frac{38!}{37!}$$

The factorial of 5 is 120.

$$\frac{720}{120}\times \frac{38!}{37!}$$

Divide 720 by 120 to get 6.

$$6\times \frac{38!}{37!}$$

The factorial of 38 is 523022617466601111760007224100074291200000000.

$$6\times \frac{523022617466601111760007224100074291200000000}{37!}$$

The factorial of 37 is 13763753091226345046315979581580902400000000.

$$6\times \frac{523022617466601111760007224100074291200000000}{13763753091226345046315979581580902400000000}$$

Divide 523022617466601111760007224100074291200000000 by 13763753091226345046315979581580902400000000 to get 38.

$$6\times 38$$

Multiply 6 and 38 to get 228.

$$228$$

Factor

$$2^{2}\times 3\times 19$$