Every Proper Binary Tree of Height h has at Most 2^h Leaves [PROOF] (Maths for Computer Science)

Published on ● Video Link: https://www.youtube.com/watch?v=O5TRyrqRWdM



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In this lecture, using what we have explored so far, prove that every proper binary tree of height h has at most 2^h many leaves. Do note that this claim is true for all binary trees [which can be proven using strong mathematical induction], but we prove it specifically for proper binary trees. We proved a similar claim previously about the levels of any binary tree using induction.

Time Stamps:
0:00 Lecture begins
0:14 Statement of claim
0:56 Proof of claim
12:52 Closing

Note: At 1:02 I did not write the word "proper" when I should have [it's in the notes]. This should be included, but is presumed in this presentation.

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