Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets

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Here is a method for completely listing the subsets of a given set using tree diagrams. It's a handy way to make sure you don't miss any subsets when trying to find them. It's not super efficient, but it is reliable! The process is pretty simple, we begin with the empty set, and then branch off to two possibilities where we either include or don't include a certain element in our subset.

Then we branch each of those two possibilities in two more ways, including or not including some other element of the set, and we continue until we have considered every element of the set in question (the order we consider elements in doesn't matter). At the very end we will have a complete list of subsets!

If you are preparing for Set Theory or in the midst of learning Set Theory, you might be interested in the book I learned set theory and proofs from. It is “Book of Proof“ by Richard Hammack. Check out the book and see if it suits your needs! You can purchase the textbook using the affiliate link below which costs you nothing extra and helps support Wrath of Math!

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

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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.

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This is the best way of teaching not the currently you are adoption.

halim_Ha

Thanks very much this theory u really help to solve this problem

sherlitasampay

One quarter of the five-element subsets of (1, 2, 3, ..., n) contain the element 7. Determine n(≥5).
Can you please explain how to solve this question

AtulGupta-jjek

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