What is the difference between factorial and combinations?

What is the difference between factorial and combinations?

Factorial refers to the product of all positive integers up to a certain number, while combinations count the ways to choose items from a set.

Can you give me an example of a factorial?

Sure! The factorial of 5, denoted as 5!, is 5 x 4 x 3 x 2 x 1, which equals 120.

And how do combinations work?

Combinations are calculated using the formula n! / (r! * (n - r)!), where n is the total items, and r is the items chosen.

Can you show me an example of combinations?

Of course! If you have 5 fruits and want to choose 2, the combinations would be 5! / (2! * (5 - 2)!) = 10.