UGC NET CS 2015 Dec – paper-3
April 3, 2024Operating-Systems
April 3, 2024GATE 1992
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Question 17
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A 2-3 tree is tree such that
- (a) all internal nodes have either 2 or 3 children
(b) all paths from root to the leaves have the same length
The number of internal nodes of a 2-3 tree having 9 leaves could be
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4
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5
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6
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7
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Both A and D
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Question 17 Explanation:
Case 1:

Where L is leaf node.
So, no. of internal node is 4.
Case 2:

Where L is leaf node.
So, no. of internal node is 7.

Where L is leaf node.
So, no. of internal node is 4.
Case 2:

Where L is leaf node.
So, no. of internal node is 7.
Correct Answer: E
Question 17 Explanation:
Case 1:

Where L is leaf node.
So, no. of internal node is 4.
Case 2:

Where L is leaf node.
So, no. of internal node is 7.

Where L is leaf node.
So, no. of internal node is 4.
Case 2:

Where L is leaf node.
So, no. of internal node is 7.
