Answer to Question #207783 in Discrete Mathematics for Natasha

Question #207783

Calculate the number of vertices in a full 5-ary tree with 45 internal vertices.Also find out the number of leaves.


1
Expert's answer
2021-06-17T15:10:48-0400

A full mm ‐ary tree with ii internal vertices has n=mi+1n=m\cdot i+1 vertices. 


n=mi+1=545+1=226n=m\cdot i+1=5\cdot 45+1=226

A full mm ‐ary tree with ii internal vertices has l=(m1)i+1l=(m-1)i+1 leaves.


l=(m1)i+1=(51)45+1=181l=(m-1)i+1=(5-1)\cdot45+1=181

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