My Math Forum Some fundamental question in combinatorics

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 November 17th, 2018, 10:41 PM #1 Newbie   Joined: Nov 2018 From: France Posts: 8 Thanks: 0 Some fundamental question in combinatorics Hey. We started to study all this subject of combinatorics integrated with the subject of functions. 1. I don't actually understand how to integrate between combinatorics and function, those functions which represent our possibilities and etc... And why at all we need to represent our combinatoric problem with an answer integrating functions? 2. Secondly, we get this formula to calculate some sorts of possibilities: \frac {n!} {(n-k)!} It's not clear to me why is this really correct, what is posed behind it? 3. For the Newton's binom - the lecturer has presented the proof for it but I don't understand it well, he also used the formula from above (2) to present the proof. Thank you! Last edited by CStudent; November 17th, 2018 at 10:46 PM.
 November 18th, 2018, 09:36 AM #2 Senior Member   Joined: May 2016 From: USA Posts: 1,310 Thanks: 551 Answered at Free math help

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