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howdy folks how many ways are there to partition a set containing n elements thats what well be talking a bit about in todays wrath of math lesson well go over the first few examples counting the number of partitions four sets containing zero one two three and four elements at the end of the lesson well take a quick look at something pretty cool called bells triangle if you need a quick recap on what partitions of sets are check the description for a link to a lesson i did on the topic but you might be able to get away just watching this lesson and youll probably figure out what we are talking about a partition of the elements of a set is like a sorting of the elements of the set into disjoint subsets so lets begin with the number of ways that we can partition a set containing just one element the definition will become more clear when we look at a set of three and four elements but were going to start with a set containing just one element now of course the particular element