Solucionar 20!/15!5!15!/11!4!

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

Calcular

$$21162960$$

Pasos de la solución

El factorial de 20 es 2432902008176640000.

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

El factorial de 15 es 1307674368000.

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

El factorial de 5 es 120.

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

Multiplica 1307674368000 y 120 para obtener 156920924160000.

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

Divide 2432902008176640000 entre 156920924160000 para obtener 15504.

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

El factorial de 15 es 1307674368000.

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

El factorial de 11 es 39916800.

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

El factorial de 4 es 24.

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

Multiplica 39916800 y 24 para obtener 958003200.

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

Divide 1307674368000 entre 958003200 para obtener 1365.

$$15504\times 1365$$

Multiplica 15504 y 1365 para obtener 21162960.

$$21162960$$

Factorizar

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