Final answer:
The minimum number of nodes required to determine the height of a full d-ary tree is d+1.
Step-by-step explanation:
A full d-ary tree is a tree in which each node has up to d children. To determine the height of a full d-ary tree, we consider the number of nodes it must have. The height of a full d-ary tree can be found by following this formula: height = log base d (N+1), where N is the number of nodes.
The minimum number of nodes required to determine the height of a full d-ary tree is d+1. This is because for a height of h, there must be at least (d+1)^h nodes in the tree. Any number of nodes less than (d+1)^h would result in a height less than h.
Therefore, the correct answer is c) d+1.