# Math Help - Groups

1. ## Groups

This is probably asked in a million places on here but I can't even remember the name of what this is called let alone how to do it.

I have a problem that needs me to find how many different groups of application can be selected for a position when I have 6 positions to fill and 12 applicants.

I have completely forgotten how to do this (This is not the actual question for the problem). I know it's just a case of multiplying some numbers together or something but just can't even get close to remembering.

P(12,6) = $\frac{12!}{(12-6)!} = \frac{1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7\times 8 \times 9 \times 10 \times 11 \times 12}{1 \times 2 \times 3 \times 4 \times 5 \times 6}$
$= 7\times 8 \times 9 \times 10 \times 11 \times 12 = ...$