Solve {l}{text{2!}4!}{10!/7!3!}

$$\left. \begin{array} { l } { \text { 2! } 4 ! } \\ { \frac { 10 ! } { 7 ! 3 ! } } \end{array} \right.$$

Sort

$$48,\ 120$$

Solution Steps

The factorial of 2 is 2.

$$sort(2\times 4!,\frac{10!}{7!\times 3!})$$

The factorial of 4 is 24.

$$sort(2\times 24,\frac{10!}{7!\times 3!})$$

Multiply 2 and 24 to get 48.

$$sort(48,\frac{10!}{7!\times 3!})$$

The factorial of 10 is 3628800.

$$sort(48,\frac{3628800}{7!\times 3!})$$

The factorial of 7 is 5040.

$$sort(48,\frac{3628800}{5040\times 3!})$$

The factorial of 3 is 6.

$$sort(48,\frac{3628800}{5040\times 6})$$

Multiply 5040 and 6 to get 30240.

$$sort(48,\frac{3628800}{30240})$$

Divide 3628800 by 30240 to get 120.

$$sort(48,120)$$

The list values are already in order.

$$48,120$$

Evaluate

$$48,\ 120$$