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Mike Miller wrote:
On Fri, 18 Apr 2008, Stephen Montgomery-Smith wrote:
Here is a math problem I worked on when I was a student. Show that
N
Sum (N choose i) x(x+i)^(i-1) y(y+n-i)^(n-i) = (x+y)(x+y+n)^(n-1).
i=0
Does n = N ?
Yes.
Before i make a real effort I want to be sure because it kinda looks
like maybe you copied my "N" and then typed "n" when you meant "N".
If by "student," you meant "grad student," then maybe I shouldn't even
try, but if you meant high school student, then I probably have some
hope of succeeding.
I was an undergraduate. But it did take me about six months to figure
it out.
Mike
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