Solve (15!/14!)(0.7)^14(0.3)^1

$$( \frac { 15 ! } { 14 ! } ) ( 0.7 ) ^ { 14 } ( 0.3 ) ^ { 1 }$$

Evaluate

$$0.030520038278205$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000}{14!}\times 0.7^{14}\times 0.3^{1}$$

The factorial of 14 is 87178291200.

$$\frac{1307674368000}{87178291200}\times 0.7^{14}\times 0.3^{1}$$

Divide 1307674368000 by 87178291200 to get 15.

$$15\times 0.7^{14}\times 0.3^{1}$$

Calculate 0.7 to the power of 14 and get 0.00678223072849.

$$15\times 0.00678223072849\times 0.3^{1}$$

Multiply 15 and 0.00678223072849 to get 0.10173346092735.

$$0.10173346092735\times 0.3^{1}$$

Calculate 0.3 to the power of 1 and get 0.3.

$$0.10173346092735\times 0.3$$

Multiply 0.10173346092735 and 0.3 to get 0.030520038278205.

$$0.030520038278205$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {14}}{2 ^ {15} \cdot 5 ^ {14}} = 0.030520038278205$$