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nchoosek help

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Sean Smith
Sean Smith on 15 Sep 2011
I am trying to figure out the nchoosek command but can't seem to get it. What I am trying to answer is if there are 4 people in a line, how many different ways can they be arranged. I tried nchoosek(1:4,4) but that returns the vector 1 2 3 4 and nchoosek(4,4) but that returns just a 1. What am I missing here?
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Sean Smith
Sean Smith on 15 Sep 2011
from what i have been reading n is the number of things and k is the number you take at a time, so shouldn't it be 4 and 4 because there are 4 things and you take them 4 at a time?

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Accepted Answer

Wayne King
Wayne King on 15 Sep 2011
Hi Sean, 4 people in a line is just factorial(4). nchoosek assumes you are interested in how many ways you can choose a number of objects out of set where order is not important. Note that arrangement in a circle is different.
Wayne
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Sean Smith
Sean Smith on 15 Sep 2011
well that makes total sense. thank you.

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