Solve 10!/3!7!*0.4^3

$$\frac { 10 ! } { 3 ! 7 ! } \times 0.4 ^ { 3 }$$

Evaluate

$$7.68$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{3!\times 7!}\times 0.4^{3}$$

The factorial of 3 is 6.

$$\frac{3628800}{6\times 7!}\times 0.4^{3}$$

The factorial of 7 is 5040.

$$\frac{3628800}{6\times 5040}\times 0.4^{3}$$

Multiply 6 and 5040 to get 30240.

$$\frac{3628800}{30240}\times 0.4^{3}$$

Divide 3628800 by 30240 to get 120.

$$120\times 0.4^{3}$$

Calculate 0.4 to the power of 3 and get 0.064.

$$120\times 0.064$$

Multiply 120 and 0.064 to get 7.68.

$$7.68$$

Factor

$$\frac{3 \cdot 2 ^ {6}}{5 ^ {2}} = 7\frac{17}{25} = 7.68$$