The sequence that cannot occur from a postorder traversal of a binary search tree with the keys 1, 2, 3, 4, 5 is 1, 3, 4, 5, 2.

In a postorder traversal of a binary search tree, the sequence of nodes visited is left subtree, right subtree, and then the root. The last element in a postorder traversal sequence is always the root of the tree.

In a binary search tree, all elements in the left subtree are less than the root, and all elements in the right subtree are greater than the root.

So, if we look at the sequence 1, 3, 4, 5, 2, we can see that 2 is the root of the tree (since it's the last element in the sequence). However, 3, 4, and 5 are all greater than 2, which means they should be in the right subtree. But according to the sequence, they appear before 2, which means they are in the left subtree. This contradicts the property of a binary search tree, so this sequence cannot occur from a postorder traversal of a binary search tree.

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The sequence that cannot occur from a postorder traversal of a binary search tree with the keys 1, 2, 3, 4, 5 is 1, 3, 4, 5, 2.

In a postorder traversal of a binary search tree, the sequence of nodes visited is left subtree, right subtree, and then the root. The last element in a postorder traversal sequence is always the root of the tree.

In a binary search tree, all elements in the left subtree are less than the root, and all elements in the right subtree are greater than the root.

So, if we look at the sequence 1, 3, 4, 5, 2, we can see that 2 is the root of the tree (since it's the last element in the sequence). However, 3, 4, and 5 are all greater than 2, which means they should be in the right subtree. But according to the sequence, they appear before 2, which means they are in the left subtree. This contradicts the property of a binary search tree, so this sequence cannot occur from a postorder traversal of a binary search tree.

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The sequence that cannot occur from a postorder traversal of a binary search tree with the keys 1, 2, 3, 4, 5 is 1, 3, 4, 5, 2.

In a postorder traversal of a binary search tree, the sequence of nodes visited is left subtree, right subtree, and then the root. The last element in a postorder traversal sequence is always the root of the tree.

In a binary search tree, all elements in the left subtree are less than the root, and all elements in the right subtree are greater than the root.

So, if we look at the sequence 1, 3, 4, 5, 2, we can see that 2 is the root of the tree (since it's the last element in the sequence). However, 3, 4, and 5 are all greater than 2, which means they should be in the right subtree. But according to the sequence, they appear before 2, which means they are in the left subtree. This contradicts the property of a binary search tree, so this sequence cannot occur from a postorder traversal of a binary search tree.

Which of the following sequences cannot occur from a postorder traversal of a binary search tree with the keys 1, 2, 3, 4, 5?2, 1, 4, 5, 32, 1, 5, 3, 41, 2, 3, 5, 41, 3, 4, 5, 2Submit

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