Solve 10!/(10-10)!10!*left(.77right)^10*left(.23right)^10-10

$$\frac{ 10 ! }{ (10-10) ! 10 ! } \times { \left(.77 \right) }^{ 10 } \times { \left(.23 \right) }^{ 10-10 }$$

Evaluate

$$0.07326680472586200649$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{\left(10-10\right)!\times 10!}\times 0.77^{10}\times 0.23^{10-10}$$

Subtract 10 from 10 to get 0.

$$\frac{3628800}{0!\times 10!}\times 0.77^{10}\times 0.23^{10-10}$$

The factorial of 0 is 1.

$$\frac{3628800}{1\times 10!}\times 0.77^{10}\times 0.23^{10-10}$$

The factorial of 10 is 3628800.

$$\frac{3628800}{1\times 3628800}\times 0.77^{10}\times 0.23^{10-10}$$

Multiply 1 and 3628800 to get 3628800.

$$\frac{3628800}{3628800}\times 0.77^{10}\times 0.23^{10-10}$$

Divide 3628800 by 3628800 to get 1.

$$1\times 0.77^{10}\times 0.23^{10-10}$$

Calculate 0.77 to the power of 10 and get 0.07326680472586200649.

$$1\times 0.07326680472586200649\times 0.23^{10-10}$$

Multiply 1 and 0.07326680472586200649 to get 0.07326680472586200649.

$$0.07326680472586200649\times 0.23^{10-10}$$

Subtract 10 from 10 to get 0.

$$0.07326680472586200649\times 0.23^{0}$$

Calculate 0.23 to the power of 0 and get 1.

$$0.07326680472586200649\times 1$$

Multiply 0.07326680472586200649 and 1 to get 0.07326680472586200649.

$$0.07326680472586200649$$

Factor

$$\frac{7 ^ {10} \cdot 11 ^ {10}}{2 ^ {20} \cdot 5 ^ {20}} = 0.07326680472586201$$