How can i calculate 16C5 in a simple calculator

Question

And i will like you to help me about 60!

43! helps calculate in a simple calculator

Answer 1

These are very difficult to calculate manually. 60! = (60)(59)(58)(57)(56)...(1) All the way down to 1.

But if you are using the combination formula, the manual calculation can be simplified a bit.

60!/43! as an example

[(60)(59)(58)(57)(56)(55)(54)(53)(52)(51)(50)(49)(48)(47)(46)(45)(44)(43)(42)(41)...(1)]/[(43)(42)(41)...(1)]

See how [(43)(42)(41)...(1)]/[(43)(42)(41)...(1)] in both the numerator and denominator cancel out?

So you are left with only (60)(59)(58)(57)(56)(55)(54)(53)(52)(51)(50)(49)(48)(47)(46)(45)(44) to calculate manually on a regular calculator. Still a lot of effort, but not as bad!