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#694 | |
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Jan 2010
379 Posts |
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#695 |
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Nov 2003
22·5·373 Posts |
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#696 |
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Jan 2010
379 Posts |
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#697 |
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Jan 2010
379 Posts |
I'll try again writing the formula:
The number of terms taken from x^k's coefficient is: F(P)+F(P-1)+...+1. Where P=n-k. F(N)=N(N+1)/2, for any given natural N. BTW: by "open" I meant, to show F(P)+F(P-1)+...+1 as a phrase concerning P's value (not a sum of functions). Last fiddled with by blob100 on 2010-06-24 at 15:09 |
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#698 | |
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Nov 2003
22×5×373 Posts |
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What am I doing wrong? Am I not getting through? I already said that this formula is wrong, explained why it could not be correct, and gave a strong hint to the correct answer. Yet Tomer insists on repeating the same stuff. Just as he kept using the answer from THIS problem in problem 1 when I told him not to do so. |
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#699 | |
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Jan 2010
17B16 Posts |
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#700 |
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Jan 2010
1011110112 Posts |
"I will give a hint: The number of different products of roots taken r
at a time from a set of size n is a well known COMBINATORIAL object. " What you mean is that there is a well known formula for this question? Last fiddled with by blob100 on 2010-06-24 at 16:04 |
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#701 |
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Jun 2003
The Texas Hill Country
21018 Posts |
The formula that gives the number of combinations of n things taken k at a time, nCk, is well known.
It, also, is not difficult to derive. Perhaps it would be useful for you to back up and go through the exercise of providing a formal proof of that formula. While you are at it, you might learn to use simple formatting in your postings to display exponents and subscripts. Using them will make it easier to read your equations. |
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#702 | |
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Aug 2005
Seattle, WA
2·883 Posts |
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After you've had a chance to think about this information, see if you can apply it to this problem. |
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#703 | |
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Aug 2005
Seattle, WA
33468 Posts |
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The solution isn't to yell at him; that hasn't been particularly successful so far. It's to direct him to the specific information that will help. This I have done. (And FWIW, I agree: there's a question of basic mathematical maturity here. Tomer should have been exposed to the combination formula long ago or, put another way, given that he hasn't been so exposed it would seem that he is not ready for some of the more advanced topics to which he aspires. He needs time and instruction to gain that maturity.) |
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#704 | |
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Nov 2003
1D2416 Posts |
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