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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](http://movies.stackexchange.com/a/584/148). 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).2011-12-20

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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?

Your answer should follow when you ponder the answers to the above questions.

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    @NGLN: Glad to be of help. If you don't know the word, it can be hard to look up. And good for you for using enough parentheses to make it clear what is under the division slash.2011-12-21