16!/8!*2!*2!*2! eching

$$\frac{ 16 ! }{ 8 ! \times 2 ! \times 2 ! \times 2 ! }$$

Baholash

$$64864800$$

Yechim qadamlari

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

$$\frac{16!}{8!\times \left(2!\right)^{2}\times 2!}$$

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

$$\frac{16!}{8!\times \left(2!\right)^{3}}$$

16 ning faktoriali 20922789888000 ga teng.

$$\frac{20922789888000}{8!\times \left(2!\right)^{3}}$$

8 ning faktoriali 40320 ga teng.

$$\frac{20922789888000}{40320\times \left(2!\right)^{3}}$$

2 ning faktoriali 2 ga teng.

$$\frac{20922789888000}{40320\times 2^{3}}$$

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

$$\frac{20922789888000}{40320\times 8}$$

322560 hosil qilish uchun 40320 va 8 ni ko'paytirish.

$$\frac{20922789888000}{322560}$$

64864800 ni olish uchun 20922789888000 ni 322560 ga bo‘ling.

$$64864800$$

Omil

$$2^{5}\times 3^{4}\times 5^{2}\times 7\times 11\times 13$$