Solve 80!/31!=20!/17!

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

Verify

Solution Steps

The factorial of 80 is 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000.

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

The factorial of 31 is 8222838654177922817725562880000000.

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

Divide 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 by 8222838654177922817725562880000000 to get 8703740892435028458297205470343672011929181282810191180484453056554991616000000000000.

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

The factorial of 20 is 2432902008176640000.

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

The factorial of 17 is 355687428096000.

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

Divide 2432902008176640000 by 355687428096000 to get 6840.

$$8703740892435028458297205470343672011929181282810191180484453056554991616000000000000=6840$$

Compare 8703740892435028458297205470343672011929181282810191180484453056554991616000000000000 and 6840.

$$\text{false}$$