# How many unique posibilities of n numbers out m numbers?

Say I have a set with the numbers 1, 2, 3... m.

How many unique combinations can be made of n numbers out of that set?

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No, I am not a student. I just want to explain my theory in this answer. Sorry for asking this very simple question (for you folks), but for me this is the fastest way to get an answer (I think/hope). –  NGLN Dec 20 '11 at 21:10

Here is a step-by-step approach:

Step 1: How many choices do you have for the first position?

Step 2: How many choices do you have for the second position?

...

Step $n$: How many choices do you have for the $n^\textrm{th}$ position?