Whakaoti i te 20!/15!5!15!/11!4!

$$\frac{ 20 ! }{ 15 ! 5 ! } \frac{ 15 ! }{ 11 ! 4 ! }$$

Aromātai

$$21162960$$

Ngā Upane Otinga

Ko te huarea o 20 ko 2432902008176640000.

$$\frac{2432902008176640000}{15!\times 5!}\times \frac{15!}{11!\times 4!}$$

Ko te huarea o 15 ko 1307674368000.

$$\frac{2432902008176640000}{1307674368000\times 5!}\times \frac{15!}{11!\times 4!}$$

Ko te huarea o 5 ko 120.

$$\frac{2432902008176640000}{1307674368000\times 120}\times \frac{15!}{11!\times 4!}$$

Whakareatia te 1307674368000 ki te 120, ka 156920924160000.

$$\frac{2432902008176640000}{156920924160000}\times \frac{15!}{11!\times 4!}$$

Whakawehea te 2432902008176640000 ki te 156920924160000, kia riro ko 15504.

$$15504\times \frac{15!}{11!\times 4!}$$

Ko te huarea o 15 ko 1307674368000.

$$15504\times \frac{1307674368000}{11!\times 4!}$$

Ko te huarea o 11 ko 39916800.

$$15504\times \frac{1307674368000}{39916800\times 4!}$$

Ko te huarea o 4 ko 24.

$$15504\times \frac{1307674368000}{39916800\times 24}$$

Whakareatia te 39916800 ki te 24, ka 958003200.

$$15504\times \frac{1307674368000}{958003200}$$

Whakawehea te 1307674368000 ki te 958003200, kia riro ko 1365.

$$15504\times 1365$$

Whakareatia te 15504 ki te 1365, ka 21162960.

$$21162960$$

Tauwehe

$$2^{4}\times 3^{2}\times 5\times 7\times 13\times 17\times 19$$