You may hear of Binomial theorem, which deal with 2 variables.
Here is the statement of binomial theoremSTATEMENT
Answer to question is multinomial theorem. Let us describe it for 4 variables only; it can be extended to more variables also
STATEMENT
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hi sir! nice proof. Im looking at another version of the proof by using concepts of Distinguishable Permutation.
ReplyDeleteYour example #2 (coefficient of x^2yzw in the expansion of (x+y+z+w)^2) will be the same as:
How many ways can you arrange the letters XXYZW. the answer is" 5!/(2!1!1!1!) which is the same as your answer.
Can you help me out with this proof? Or is it possible to use it?
Thank you!
your application part is good that relate the concept. :)
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