Giải 80!/31!=20!/17!

$$\frac { 80 ! } { 31 ! } = \frac { 20 ! } { 17 ! }$$

Xác minh

Các bước tìm nghiệm

Giai thừa của 80 là 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000.

$$\frac{71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000}{31!}=\frac{20!}{17!}$$

Giai thừa của 31 là 8222838654177922817725562880000000.

$$\frac{71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000}{8222838654177922817725562880000000}=\frac{20!}{17!}$$

Chia 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 cho 8222838654177922817725562880000000 ta có 8703740892435028458297205470343672011929181282810191180484453056554991616000000000000.

$$8703740892435028458297205470343672011929181282810191180484453056554991616000000000000=\frac{20!}{17!}$$

Giai thừa của 20 là 2432902008176640000.

$$8703740892435028458297205470343672011929181282810191180484453056554991616000000000000=\frac{2432902008176640000}{17!}$$

Giai thừa của 17 là 355687428096000.

$$8703740892435028458297205470343672011929181282810191180484453056554991616000000000000=\frac{2432902008176640000}{355687428096000}$$

Chia 2432902008176640000 cho 355687428096000 ta có 6840.

$$8703740892435028458297205470343672011929181282810191180484453056554991616000000000000=6840$$

So sánh 8703740892435028458297205470343672011929181282810191180484453056554991616000000000000 và 6840.

$$\text{false}$$