Solve 12!/((12-11!)*11!)=

$$\frac { 12 ! } { ( ( 12 - 11 ! ) \times 11 ! ) } =$$

Evaluate

$$-\frac{1}{3326399}\approx -0.000000301$$

Solution Steps

The factorial of 12 is 479001600.

$$\frac{479001600}{\left(12-11!\right)\times 11!}$$

The factorial of 11 is 39916800.

$$\frac{479001600}{\left(12-39916800\right)\times 11!}$$

Subtract 39916800 from 12 to get -39916788.

$$\frac{479001600}{-39916788\times 11!}$$

The factorial of 11 is 39916800.

$$\frac{479001600}{-39916788\times 39916800}$$

Multiply -39916788 and 39916800 to get -1593350443238400.

$$\frac{479001600}{-1593350443238400}$$

Reduce the fraction \frac{479001600}{-1593350443238400} to lowest terms by extracting and canceling out 479001600.

$$-\frac{1}{3326399}$$

Factor

$$-\frac{1}{3326399} = -3.006253910008992 \times 10^{-7}$$