25!/17!(25-17)!*60^17 eching

$$\frac { 25 ! } { 17 ! ( 25 - 17 ) ! } \cdot 60 ^ { 17 }$$

Baholash

$$1830745168894033920000000000000000000$$

Yechim qadamlari

25 ning faktoriali 15511210043330985984000000 ga teng.

$$\frac{15511210043330985984000000}{17!\left(25-17\right)!}\times 60^{17}$$

17 ning faktoriali 355687428096000 ga teng.

$$\frac{15511210043330985984000000}{355687428096000\left(25-17\right)!}\times 60^{17}$$

8 olish uchun 25 dan 17 ni ayirish.

$$\frac{15511210043330985984000000}{355687428096000\times 8!}\times 60^{17}$$

8 ning faktoriali 40320 ga teng.

$$\frac{15511210043330985984000000}{355687428096000\times 40320}\times 60^{17}$$

14341317100830720000 hosil qilish uchun 355687428096000 va 40320 ni ko'paytirish.

$$\frac{15511210043330985984000000}{14341317100830720000}\times 60^{17}$$

1081575 ni olish uchun 15511210043330985984000000 ni 14341317100830720000 ga bo‘ling.

$$1081575\times 60^{17}$$

17 daraja ko‘rsatkichini 60 ga hisoblang va 1692665944473600000000000000000 ni qiymatni oling.

$$1081575\times 1692665944473600000000000000000$$

1830745168894033920000000000000000000 hosil qilish uchun 1081575 va 1692665944473600000000000000000 ni ko'paytirish.

$$1830745168894033920000000000000000000$$

Omil

$$2^{34}\times 3^{19}\times 5^{19}\times 11\times 19\times 23$$