Solve 5!/4!*1!*(5!/4!*1!)

$$\frac{ 5 ! }{ 4 ! \times 1 ! } \times ( \frac{ 5 ! }{ 4 ! \times 1 ! } )$$

Evaluate

$$25$$

Solution Steps

Multiply \frac{5!}{4!\times 1!} and \frac{5!}{4!\times 1!} to get \left(\frac{5!}{4!\times 1!}\right)^{2}.

$$\left(\frac{5!}{4!\times 1!}\right)^{2}$$

The factorial of 5 is 120.

$$\left(\frac{120}{4!\times 1!}\right)^{2}$$

The factorial of 4 is 24.

$$\left(\frac{120}{24\times 1!}\right)^{2}$$

The factorial of 1 is 1.

$$\left(\frac{120}{24\times 1}\right)^{2}$$

Multiply 24 and 1 to get 24.

$$\left(\frac{120}{24}\right)^{2}$$

Divide 120 by 24 to get 5.

$$5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25$$

Factor

$$5^{2}$$