Solve 7!/1!(7-1)!*0.6^1*0.4^6

$$\frac{ 7 ! }{ 1 ! (7-1) ! } \times { 0.6 }^{ 1 } \times { 0.4 }^{ 6 }$$

Evaluate

$$0.0172032$$

Solution Steps

The factorial of 7 is 5040.

$$\frac{5040}{1!\left(7-1\right)!}\times 0.6^{1}\times 0.4^{6}$$

The factorial of 1 is 1.

$$\frac{5040}{1\left(7-1\right)!}\times 0.6^{1}\times 0.4^{6}$$

Subtract 1 from 7 to get 6.

$$\frac{5040}{1\times 6!}\times 0.6^{1}\times 0.4^{6}$$

The factorial of 6 is 720.

$$\frac{5040}{1\times 720}\times 0.6^{1}\times 0.4^{6}$$

Multiply 1 and 720 to get 720.

$$\frac{5040}{720}\times 0.6^{1}\times 0.4^{6}$$

Divide 5040 by 720 to get 7.

$$7\times 0.6^{1}\times 0.4^{6}$$

Calculate 0.6 to the power of 1 and get 0.6.

$$7\times 0.6\times 0.4^{6}$$

Multiply 7 and 0.6 to get 4.2.

$$4.2\times 0.4^{6}$$

Calculate 0.4 to the power of 6 and get 0.004096.

$$4.2\times 0.004096$$

Multiply 4.2 and 0.004096 to get 0.0172032.

$$0.0172032$$

Factor

$$\frac{3 \cdot 7 \cdot 2 ^ {6}}{5 ^ {7}} = 0.0172032$$