Solve 13!/4!(13-4)!21.1^4(1-21.1)^(13-4)

$$\frac { 13 ! } { 4 ! ( 13 - 4 ) ! } 21.1 ^ { 4 } ( 1 - 21.1 ) ^ { ( 13 - 4 ) }$$

Evaluate

$$-75892765701978482293.5897069567315$$

Solution Steps

The factorial of 13 is 6227020800.

$$\frac{6227020800}{4!\left(13-4\right)!}\times 21.1^{4}\left(1-21.1\right)^{13-4}$$

The factorial of 4 is 24.

$$\frac{6227020800}{24\left(13-4\right)!}\times 21.1^{4}\left(1-21.1\right)^{13-4}$$

Subtract 4 from 13 to get 9.

$$\frac{6227020800}{24\times 9!}\times 21.1^{4}\left(1-21.1\right)^{13-4}$$

The factorial of 9 is 362880.

$$\frac{6227020800}{24\times 362880}\times 21.1^{4}\left(1-21.1\right)^{13-4}$$

Multiply 24 and 362880 to get 8709120.

$$\frac{6227020800}{8709120}\times 21.1^{4}\left(1-21.1\right)^{13-4}$$

Divide 6227020800 by 8709120 to get 715.

$$715\times 21.1^{4}\left(1-21.1\right)^{13-4}$$

Calculate 21.1 to the power of 4 and get 198211.9441.

$$715\times 198211.9441\left(1-21.1\right)^{13-4}$$

Multiply 715 and 198211.9441 to get 141721540.0315.

$$141721540.0315\left(1-21.1\right)^{13-4}$$

Subtract 21.1 from 1 to get -20.1.

$$141721540.0315\left(-20.1\right)^{13-4}$$

Subtract 4 from 13 to get 9.

$$141721540.0315\left(-20.1\right)^{9}$$

Calculate -20.1 to the power of 9 and get -535506216522.273441801.

$$141721540.0315\left(-535506216522.273441801\right)$$

Multiply 141721540.0315 and -535506216522.273441801 to get -75892765701978482293.5897069567315.

$$-75892765701978482293.5897069567315$$

Factor

$$-75892765701978482293.5897069567315$$