What is the maximum height of any AVL tree with 7 nodes? Assume that height of…

To find the maximum height of an AVL tree with 7 nodes, we use the minimum node count recurrence relation: N(h) = N(h-1) + N(h-2) + 1. Starting with base cases N(0)=1 and N(1)=2, we calculate: N(2) = 4, N(3) = 7. Since an AVL tree of height 3 requires a minimum of exactly 7 nodes, and height 4 would require at least 12 nodes, the maximum possible height with 7 nodes is 3.