Difference between revisions of "Multinomial Theorem"
m |
(→Olympiad) |
||
Line 38: | Line 38: | ||
[[Category:Theorems]] | [[Category:Theorems]] | ||
[[Category:Combinatorics]] | [[Category:Combinatorics]] | ||
− | [[Category: | + | [[Category:Multinomial Theorem]] |
Revision as of 00:59, 1 February 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
Using induction and the Binomial Theorem
Nothing to see here... This article is a stub. Help us out by expanding it.
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.