Solve 50!/4!(50-4)!

$$\frac{ 50 ! }{ 4 ! (50-4) ! }$$

Evaluate

$$230300$$

Solution Steps

The factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{4!\left(50-4\right)!}$$

The factorial of 4 is 24.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{24\left(50-4\right)!}$$

Subtract 4 from 50 to get 46.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{24\times 46!}$$

The factorial of 46 is 5502622159812088949850305428800254892961651752960000000000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{24\times 5502622159812088949850305428800254892961651752960000000000}$$

Multiply 24 and 5502622159812088949850305428800254892961651752960000000000 to get 132062931835490134796407330291206117431079642071040000000000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{132062931835490134796407330291206117431079642071040000000000}$$

Divide 30414093201713378043612608166064768844377641568960512000000000000 by 132062931835490134796407330291206117431079642071040000000000 to get 230300.

$$230300$$

Factor

$$2^{2}\times 5^{2}\times 7^{2}\times 47$$