Solve 10!/3!1!*0.2^3*0.8^7

$$\frac { 10 ! } { 3 ! 1 ! } \times 0.2 ^ { 3 } \times 0.8 ^ { 7 }$$

Evaluate

$$1014.68602368$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{3!\times 1!}\times 0.2^{3}\times 0.8^{7}$$

The factorial of 3 is 6.

$$\frac{3628800}{6\times 1!}\times 0.2^{3}\times 0.8^{7}$$

The factorial of 1 is 1.

$$\frac{3628800}{6\times 1}\times 0.2^{3}\times 0.8^{7}$$

Multiply 6 and 1 to get 6.

$$\frac{3628800}{6}\times 0.2^{3}\times 0.8^{7}$$

Divide 3628800 by 6 to get 604800.

$$604800\times 0.2^{3}\times 0.8^{7}$$

Calculate 0.2 to the power of 3 and get 0.008.

$$604800\times 0.008\times 0.8^{7}$$

Multiply 604800 and 0.008 to get 4838.4.

$$4838.4\times 0.8^{7}$$

Calculate 0.8 to the power of 7 and get 0.2097152.

$$4838.4\times 0.2097152$$

Multiply 4838.4 and 0.2097152 to get 1014.68602368.

$$1014.68602368$$

Factor

$$\frac{7 \cdot 2 ^ {21} \cdot 3 ^ {3}}{5 ^ {8}} = 1014\frac{267978}{390625} = 1014.68602368$$