Riješi 20!/15!5!15!/11!4!

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

Izračunaj

$$21162960$$

Koraci rješenja

Faktorijel broja 20 je 2432902008176640000.

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

Faktorijel broja 15 je 1307674368000.

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

Faktorijel broja 5 je 120.

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

Pomnožite 1307674368000 i 120 da biste dobili 156920924160000.

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

Podijelite 2432902008176640000 s 156920924160000 da biste dobili 15504.

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

Faktorijel broja 15 je 1307674368000.

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

Faktorijel broja 11 je 39916800.

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

Faktorijel broja 4 je 24.

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

Pomnožite 39916800 i 24 da biste dobili 958003200.

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

Podijelite 1307674368000 s 958003200 da biste dobili 1365.

$$15504\times 1365$$

Pomnožite 15504 i 1365 da biste dobili 21162960.

$$21162960$$

Faktor

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