Proof: Recurrence Relation for Bell Numbers (Partitions) | Combinatorics

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We'll be going over a proof of the recurrence relation for the Bell numbers in today's combinatorics lesson. Recall that the bell number Bn is the number of partitions of a set with n objects. By considering an arbitrary partition, and singling out one of its parts, we'll be able to use previous Bell numbers to calculate later Bell numbers with a sum of binomial coefficients multiplied by Bell numbers.

I hope you find this video helpful, and be sure to ask any questions down in the comments!

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Fantastic demonstration! But I have a question: since we know the recurrence equation for Bn+1 and the value of the first term of Bell number. So Why can't we derive a general equation for each Bell number?

ExploreMath-jnef
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Alas!! I found a treasure, thank you so much for your work. I take Grad combinatorics and you're my life savior lol. Can we have a video about Catalan numbers and their relation with generating functions? Thanks again!!

lalithagurajada
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Thinks sir I understand all concepts very easily.

GauravKumar-qwyf
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sir please share which book you read for bell no.s

ran_domwtf