Solve 10!/(10-9)!9!*left(.65right)^9*left(.35right)^(10-9)

$$\frac{ 10 ! }{ (10-9) ! 9 ! } \times { \left(.65 \right) }^{ 9 } \times { \left(.35 \right) }^{ (10-9) }$$

Evaluate

$$0.0724916949326171875$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{\left(10-9\right)!\times 9!}\times 0.65^{9}\times 0.35^{10-9}$$

Subtract 9 from 10 to get 1.

$$\frac{3628800}{1!\times 9!}\times 0.65^{9}\times 0.35^{10-9}$$

The factorial of 1 is 1.

$$\frac{3628800}{1\times 9!}\times 0.65^{9}\times 0.35^{10-9}$$

The factorial of 9 is 362880.

$$\frac{3628800}{1\times 362880}\times 0.65^{9}\times 0.35^{10-9}$$

Multiply 1 and 362880 to get 362880.

$$\frac{3628800}{362880}\times 0.65^{9}\times 0.35^{10-9}$$

Divide 3628800 by 362880 to get 10.

$$10\times 0.65^{9}\times 0.35^{10-9}$$

Calculate 0.65 to the power of 9 and get 0.020711912837890625.

$$10\times 0.020711912837890625\times 0.35^{10-9}$$

Multiply 10 and 0.020711912837890625 to get 0.20711912837890625.

$$0.20711912837890625\times 0.35^{10-9}$$

Subtract 9 from 10 to get 1.

$$0.20711912837890625\times 0.35^{1}$$

Calculate 0.35 to the power of 1 and get 0.35.

$$0.20711912837890625\times 0.35$$

Multiply 0.20711912837890625 and 0.35 to get 0.0724916949326171875.

$$0.0724916949326171875$$

Factor

$$\frac{7 \cdot 13 ^ {9}}{2 ^ {19} \cdot 5 ^ {9}} = 0.07249169493261719$$