I'm having a problem with a proof I came across in one of my calculus books but it's not the calculus part of the proof that I'm having trouble with. Here's the actual proof:(adsbygoogle = window.adsbygoogle || []).push({});

"Prove: The number of distinct derivatives of order n is the the same as the number of terms in a homogeneous polynomial in m variables of degree n"

I've got a good idea about how to prove the part about the "number of distinct derivatives," so here, finally, is MY actual problem:

Prove that the maximum number of terms possible in a homogeneous polynomial of m variables and degree n is given by

[tex] \frac {(n + m -1) !} {n ! (m - 1) !}

[/tex]

Let me know if it needs further explanation; I may not have done a good job explaining my problem.

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# Re: homogenous polynomials

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