Solve 10!/10!-4!*2!

$$\frac { 10 ! } { 10 ! - 4 ! } \cdot 2 !$$

Evaluate

$$\frac{302400}{151199}\approx 2.000013228$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{10!-4!}\times 2!$$

The factorial of 10 is 3628800.

$$\frac{3628800}{3628800-4!}\times 2!$$

The factorial of 4 is 24.

$$\frac{3628800}{3628800-24}\times 2!$$

Subtract 24 from 3628800 to get 3628776.

$$\frac{3628800}{3628776}\times 2!$$

Reduce the fraction \frac{3628800}{3628776} to lowest terms by extracting and canceling out 24.

$$\frac{151200}{151199}\times 2!$$

The factorial of 2 is 2.

$$\frac{151200}{151199}\times 2$$

Express \frac{151200}{151199}\times 2 as a single fraction.

$$\frac{151200\times 2}{151199}$$

Multiply 151200 and 2 to get 302400.

$$\frac{302400}{151199}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {3} \cdot 5 ^ {2} \cdot 7}{47 \cdot 3217} = 2\frac{2}{151199} = 2.0000132276007117$$