Solve =1/(4-2)!*1/(7-4)!

$$= \frac { 1 } { ( 4 - 2 ) ! } \times \frac { 1 } { ( 7 - 4 ) ! }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Subtract 2 from 4 to get 2.

$$\frac{1}{2!}\times \frac{1}{\left(7-4\right)!}$$

The factorial of 2 is 2.

$$\frac{1}{2}\times \frac{1}{\left(7-4\right)!}$$

Subtract 4 from 7 to get 3.

$$\frac{1}{2}\times \frac{1}{3!}$$

The factorial of 3 is 6.

$$\frac{1}{2}\times \frac{1}{6}$$

Multiply \frac{1}{2} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 6}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 6}.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$