Question

In a full binary tree if there are L leaves, then total number of nodes N are?

(a) N = 2*L

(b) N = L + 1

(c) N = L – 1

(d) N = 2*L – 1

Question is taken from Binary Tree Properties topic in section Binary Trees of Data Structures & Algorithms I

I have been asked this question in an interview for job.

Answer 1

The correct answer is (d) N = 2*L – 1

The explanation is: The relation between number of nodes(N) and leaves(L) is N=2*L-1.