Difference between revisions of "Multinomial Theorem"
(→Using induction and the Binomial Theorem) |
(→Proof) |
||
Line 12: | Line 12: | ||
== Proof == | == Proof == | ||
+ | ==Proof by Induction== | ||
=== Combinatorial proof === | === Combinatorial proof === | ||
Keep on moving... | Keep on moving... |
Revision as of 13:44, 10 October 2017
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
Proof by Induction
Combinatorial proof
Keep on moving... This article is a stub. Help us out by expanding it.
Problems
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
This problem has not been edited in. If you know this problem, please help us out by adding it.
This article is a stub. Help us out by expanding it.