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I'm searching for an excellent answer on MSE about the intuition/interpretation of the binomial coefficient in combinatorics which arrived at the expression $\binom{n}{k} = \frac{n!}{(n-k)!k!}$ in two different ways. Unfortunately, I didn't upvote it at the time and my searches haven't lead me anywhere yet.

One of the forms presented was to interpret $\binom{n}{k} k!$ the same way as $\frac{n!}{n-k!}$ and compare both expressions. I'm trying to remember the other, because they looked great for teaching.

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  • $\begingroup$ Was it math.stackexchange.com/questions/288546/… or math.stackexchange.com/questions/566252/… $\endgroup$
    – Gerry Myerson
    Commented Aug 11, 2014 at 4:04
  • $\begingroup$ Unfortunately not. The answer I'm looking for was the one chosen by the OP and it explicitly stated that he'd describe two different ways to understand the proof, with one of them being the one I described. $\endgroup$
    – user71487
    Commented Aug 11, 2014 at 4:12
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    $\begingroup$ Maybe this? math.stackexchange.com/q/565228 Or this: math.stackexchange.com/a/119487 $\endgroup$
    – user147263
    Commented Aug 11, 2014 at 4:34
  • $\begingroup$ OMG, thank you, 900!! It's your second link! How did you find it? Post it as an answer and i'll give you your kudos :D $\endgroup$
    – user71487
    Commented Aug 12, 2014 at 2:02
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    $\begingroup$ I retagged as support. Questions are tagged discussion when they are meant to invite exchange of opinions; there is nothing to discuss here. $\endgroup$
    – user147263
    Commented Aug 14, 2014 at 23:09

1 Answer 1

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The answer was found: https://math.stackexchange.com/a/119487/ using the approach described here: How to efficiently use Google to search Math.SE content?

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  • $\begingroup$ If I did not miss something, the linked answer only says that we can use Google with restricting to site:math.stackexchange.com. (And also provides a bookmarklet for this.) In case you (or your browser history) remember it; may I ask what was the search query you used to find this particular question. $\endgroup$
    – Martin Sleziak
    Commented Aug 15, 2014 at 8:22
  • $\begingroup$ @MartinSleziak I tried several things, one of which worked; by now there's no way to recall which one. $\endgroup$
    – user147263
    Commented Aug 15, 2014 at 13:29

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