Question

You need to choose 4 employees out of your 10 employees to work on a holiday. How many choices are possible?

10,000

40

5,040

210

Answer 1

If I remember correctly, the combination formula is

\[\large \frac{n!}{r!(n - r)!}\]

'n' is the total number of choices, this would be 10 here
and
'r' would be the number that you want to choose, or 4 here

so

\[\large \frac{10!}{4!(10 - 4)!}\]

Answer 2

Thank you!