Answer :
Final answer:
Option A (9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95) is the correct result of an in-order traversal of the Binary Search Tree, given that it is sorted and places 29 (the last element in post order) appropriately as the root.
Explanation:
The post order traversal sequence you provided for the Binary Search Tree (BST) is 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29. To find the correct in-order traversal sequence, we must understand the properties of BST's in-order traversal—the nodes are visited in a left-root-right order, which results in a sorted sequence.
Given that the post order sequence ends with 29, it suggests that 29 is the root of the tree. Knowing this and the fact that all nodes in the left subtree of a BST are smaller than the root, and all nodes in the right subtree are larger, we can eliminate sequences where 29 is not in the correct position relative to other elements as per BST rules.
Option A: 9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95 is the correct in-order traversal sequence since it is sorted and respects the BST in-order traversal rule, with the last element of the post order sequence (29) being the root and all elements positioned correctly relative to it.
Learn more about In-order Traversal here:
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