cool math problems

<p>anyone out there have fun math problems?
Optimizerdad I’m sure you must have some math problems lying around that you can throw at us to hone our problem solving skills ;)</p>

<p>I’ll post the first one (its easy but its just fun to see how a lot of things can be expressed in combinations)</p>

<p>express ( using combinations) the number of diagonals for a regular polygon with n sides.</p>

<p>are combinations the things with !</p>

<p>you can express a combination with ! yes, but it could also be used for permutations. ! is simply a factorial, which is defined as
n<em>(n-1)</em>(n-2)…1
t
he formula for a combination is n!/(r!(n-r!)) but for times sake just write it as (n r)…</p>

<p>yeah, sparknotes.com has a good section on that in the “power tactics” book they have online</p>

<p>This is a cool suggestion (and hard to resist!).
It appeared a number of times on CC.
I remember these two:
<a href=“http://talk.collegeconfidential.com/showthread.php?t=76332&page=1&pp=40[/url]”>http://talk.collegeconfidential.com/showthread.php?t=76332&page=1&pp=40&lt;/a&gt;
<a href=“http://talk.collegeconfidential.com/showthread.php?t=71503&page=1&pp=40[/url]”>http://talk.collegeconfidential.com/showthread.php?t=71503&page=1&pp=40&lt;/a&gt;&lt;/p&gt;

<p>You can find interesting questions on CC by searching for some users’ posts.
You know well this prominent name: optimizerdad.
He has always applied mathematically :wink: sound methods to dealing with varied hard nuts (I mean questions).</p>

<p>I think now that there are greener pastures than CC out there for satiating on questions beyond the SAT level.
These are very good:
<a href=“http://www.artofproblemsolving.com/[/url]”>http://www.artofproblemsolving.com/&lt;/a&gt; (mentioned here on CC many times)
<a href=“http://www.cut-the-knot.org/index.shtml[/url]”>http://www.cut-the-knot.org/index.shtml&lt;/a&gt;
<a href=“http://physicsforums.com/[/url]”>http://physicsforums.com/&lt;/a&gt;&lt;/p&gt;

<p>CC is open for any >|< relevant posts, so I am just voicing MHO.</p>