# Math Help - [SOLVED] Full Binary Tree Question

1. ## [SOLVED] Full Binary Tree Question

I'm a little confused on how a full binary tree actually works, here is my question:

Every full binary tree with 53 vertices has ________ leaves.

Thanks a lot guys and gals.

Formula for finding this is: $(number of vertices+1)/2$

...look at a smaller examples/full binary trees to see that this works:

Every full binary tree with 7 vertices has 4 leaves.
$(7+1)/2 = 8/2 = 4$

Every full binary tree with 15 vertices has 8 leaves.
$(15+1)/2 = 16/2 = 8$

3. My replay posted twice for some reason... :/ haha but anyway, I hope that was helpful!

4. Thanks so much, I was unaware of the formula for this.