8!/2!2!2! eching

$$\frac{ 8 ! }{ 2 ! 2 ! 2 ! }$$

Baholash

$$5040$$

Yechim qadamlari

\left(2!\right)^{2} hosil qilish uchun 2! va 2! ni ko'paytirish.

$$\frac{8!}{\left(2!\right)^{2}\times 2!}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{8!}{\left(2!\right)^{3}}$$

8 ning faktoriali 40320 ga teng.

$$\frac{40320}{\left(2!\right)^{3}}$$

2 ning faktoriali 2 ga teng.

$$\frac{40320}{2^{3}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{40320}{8}$$

5040 ni olish uchun 40320 ni 8 ga bo‘ling.

$$5040$$

Omil

$$2^{4}\times 3^{2}\times 5\times 7$$