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Bell Numbers and their Recurrence Relation | Combinatorics
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What are Bell numbers? How can we find them using a recurrence relation? We'll go over these questions in today's combinatorics lesson on partitions and Bell numbers.
The Bell number Bn counts the number of partitions of a set with n objects. Using a simple argument to count the partitions of a set with n+1 objects, we'll be able to find Bn+1 using binomial coefficients and previous Bell numbers. We'll use the recurrence relation to calculate a Bell number, and see where it comes from.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
+WRATH OF MATH+
Follow Wrath of Math on...
The Bell number Bn counts the number of partitions of a set with n objects. Using a simple argument to count the partitions of a set with n+1 objects, we'll be able to find Bn+1 using binomial coefficients and previous Bell numbers. We'll use the recurrence relation to calculate a Bell number, and see where it comes from.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
+WRATH OF MATH+
Follow Wrath of Math on...
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