Issolvi 20!/15!5!15!/11!4!

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

Evalwa

$$21162960$$

Passi tas-Soluzzjonijiet

Il-fattorjali ta' 20 huwa 2432902008176640000.

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

Il-fattorjali ta' 15 huwa 1307674368000.

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

Il-fattorjali ta' 5 huwa 120.

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

Immultiplika 1307674368000 u 120 biex tikseb 156920924160000.

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

Iddividi 2432902008176640000 b'156920924160000 biex tikseb15504.

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

Il-fattorjali ta' 15 huwa 1307674368000.

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

Il-fattorjali ta' 11 huwa 39916800.

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

Il-fattorjali ta' 4 huwa 24.

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

Immultiplika 39916800 u 24 biex tikseb 958003200.

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

Iddividi 1307674368000 b'958003200 biex tikseb1365.

$$15504\times 1365$$

Immultiplika 15504 u 1365 biex tikseb 21162960.

$$21162960$$

Fattur

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