[SOLVED] Combinatorics

Subject: [SOLVED] Combinatorics Fri Nov 06, 2009 6:15 pm

let's start warming up with a problem in combinatorics Basketball

you can find the question (level: undergraduate) in the following link
uploading.com Combinatorics.pdf/

I'll post the solution next week. At the moment no prize, I should evaluate you at first then you will see how much I am generous Very Happy

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Subject: Re: [SOLVED] Combinatorics Fri Nov 06, 2009 7:40 pm

Hey Mohammad! The link doesn't work pale

You have to link directly to the PDF file!

Subject: Re: [SOLVED] Combinatorics Sat Nov 07, 2009 3:25 pm

Hello Mohammad Very Happy

Now the link works. And here is my solution! king

If you have a combinatorial proof I'd love to see it. I tried going down that path at first but it did not seem like the best plan.

Subject: sol Sat Nov 07, 2009 6:16 pm

Well done, your proof is the same I had in my mind. bounce

Now I should be careful who I am talking to Very Happy

Subject: Re: [SOLVED] Combinatorics Sat Nov 07, 2009 6:41 pm

Thanks! I don't know if there is another good way to do it. This seems like the only straightforward solution.

It's funny because last night I was trying all sorts of stupid things for about thirty minutes (even induction! Embarassed

) , then I got discouraged and I went to take a nap before going to a party. I woke up thirty minutes later and my first thought was "Chebyshev inequality", and I was so certain it would work that I didn't even check until this morning! scratch

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