Whakaoti i te 13!/4!(13-4)!211^4(1-211)^(13-4)

$$\frac { 13 ! } { 4 ! ( 13 - 4 ) ! } 211 ^ { 4 } ( 1 - 211 ) ^ { ( 13 - 4 ) }$$

Aromātai

$$-1125665914177508762073015000000000$$

Ngā Upane Otinga

Ko te huarea o 13 ko 6227020800.

$$\frac{6227020800}{4!\left(13-4\right)!}\times 211^{4}\left(1-211\right)^{13-4}$$

Ko te huarea o 4 ko 24.

$$\frac{6227020800}{24\left(13-4\right)!}\times 211^{4}\left(1-211\right)^{13-4}$$

Tangohia te 4 i te 13, ka 9.

$$\frac{6227020800}{24\times 9!}\times 211^{4}\left(1-211\right)^{13-4}$$

Ko te huarea o 9 ko 362880.

$$\frac{6227020800}{24\times 362880}\times 211^{4}\left(1-211\right)^{13-4}$$

Whakareatia te 24 ki te 362880, ka 8709120.

$$\frac{6227020800}{8709120}\times 211^{4}\left(1-211\right)^{13-4}$$

Whakawehea te 6227020800 ki te 8709120, kia riro ko 715.

$$715\times 211^{4}\left(1-211\right)^{13-4}$$

Tātaihia te 211 mā te pū o 4, kia riro ko 1982119441.

$$715\times 1982119441\left(1-211\right)^{13-4}$$

Whakareatia te 715 ki te 1982119441, ka 1417215400315.

$$1417215400315\left(1-211\right)^{13-4}$$

Tangohia te 211 i te 1, ka -210.

$$1417215400315\left(-210\right)^{13-4}$$

Tangohia te 4 i te 13, ka 9.

$$1417215400315\left(-210\right)^{9}$$

Tātaihia te -210 mā te pū o 9, kia riro ko -794280046581000000000.

$$1417215400315\left(-794280046581000000000\right)$$

Whakareatia te 1417215400315 ki te -794280046581000000000, ka -1125665914177508762073015000000000.

$$-1125665914177508762073015000000000$$

Tauwehe

$$-1125665914177508762073015000000000$$