Multinomial Theorem
The Multinomial Theorem states that where is the multinomial coefficient .
Note that this is a direct generalization of the Binomial Theorem: when it simplifies to
Contents
[hide]Proof
Using induction and the Binomial Theorem
Combinatorial proof
Problems
Introductory
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Intermediate
- The expression
is simplified by expanding it and combining like terms. How many terms are in the simplified expression?
(Source: 2006 AMC 12A Problem 24)
Olympiad
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