Solve 20!/12!(20-12)!*0.82^12

$$\frac{ 20 ! }{ 12 ! (20-12) ! } \times { 0.82 }^{ 12 }$$

Evaluate

$$11642.15448836967817471414272$$

Solution Steps

The factorial of 20 is 2432902008176640000.

$$\frac{2432902008176640000}{12!\left(20-12\right)!}\times 0.82^{12}$$

The factorial of 12 is 479001600.

$$\frac{2432902008176640000}{479001600\left(20-12\right)!}\times 0.82^{12}$$

Subtract 12 from 20 to get 8.

$$\frac{2432902008176640000}{479001600\times 8!}\times 0.82^{12}$$

The factorial of 8 is 40320.

$$\frac{2432902008176640000}{479001600\times 40320}\times 0.82^{12}$$

Multiply 479001600 and 40320 to get 19313344512000.

$$\frac{2432902008176640000}{19313344512000}\times 0.82^{12}$$

Divide 2432902008176640000 by 19313344512000 to get 125970.

$$125970\times 0.82^{12}$$

Calculate 0.82 to the power of 12 and get 0.092420056270299898187776.

$$125970\times 0.092420056270299898187776$$

Multiply 125970 and 0.092420056270299898187776 to get 11642.15448836967817471414272.

$$11642.15448836967817471414272$$

Factor

$$\frac{3 \cdot 13 \cdot 17 \cdot 19 \cdot 41 ^ {12}}{2 ^ {11} \cdot 5 ^ {23}} = 11642\frac{3.771688712846197 \times 10^{18}}{2.44140625 \times 10^{19}} = 11642.154488369679$$