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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

493.0. "Multinomial theorem" by EAGLEA::DANTOWITZ (David .. DTN: 226-6957 -- LTN2-1/H07) Mon May 26 1986 15:13

    Not being able to call myself a mathematician, I may be asking a
    stupid question.   I remember working with the "Binomial theorem"
    and I was wondering if there was an extension of this (perhaps
    called the "Multinomial theorem") ?
    
    
    David
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493.1BEING::POSTPISCHILAlways mount a scratch monkey.Tue May 27 1986 13:3918
    This is a vague memory I haven't verified, but I think what you
    are looking for is a formula for a term in the expansion of:
    
           m-1         n
    	(  sum   x[i] )
    	  i = 0
    
    and those terms each have the form:
    
    	     m-1
    	n! product x[i]^p[i]/p[i]!
            i = 0
    
    so one term might be 6! x[0]^2/2! x[1]^1/1! x[3]^3/3! which equals
    60 x[0]^2 x[1] x[3]^3.
    
    
    				-- edp