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categories: Combinatorics
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## Problems
- [Investigating in how many ways objects of two different colours can be grouped](https://projecteuler.net/problem=181)
- [Writing n as the product of k distinct positive integers](https://projecteuler.net/problem=495)

## See also
- [Burnside's lemma](Burnside's lemma)
- [Cycle index]()
- [Combinatorial species]()

## External links
- [Counting and Coloring with Symmetry](https://daim.idi.ntnu.no/masteroppgaver/004/4381/masteroppgave.pdf)
- [Burnside lemma and Pólya enumeration theorem examples](http://meta.math.stackexchange.com/questions/1868/list-of-generalizations-of-common-questions#13335)
- [Pólya's Enumeration Theorem with Applications](http://am-just-a-nobody.blogspot.is/2015/03/mathjax.html)
- [Pólya's Enumeration Theorem with Applications - Part II](http://am-just-a-nobody.blogspot.is/2015/11/this-post-continues-what-we-discussed.html)
- [Multiplication partitioning into k distinct elements](http://math.stackexchange.com/questions/1250364/multiplication-partitioning-into-k-distinct-elements)