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In a complete k-ary tree, every internal node has exactly k children or no child. The number of leaves in such a tree with n internal nodes is:
  • a)
    nk
  • b)
    (n – 1) k+ 1
  • c)
    n( k – 1) + 1
  • d)
    n(k – 1)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a complete k-ary tree, every internal node has exactly k children o...
For an k-ary tree where each node has k children or no children, following relation holds
L = (k-1)*n + 1
Where L is the number of leaf nodes and n is the number of internal nodes.
since its a complete k tree, so every internal node will have K child
Let us see following for example

k = 3
Number of internal nodes n = 4
Number of leaf nodes = (k-1)*n + 1
= (3-1)*4 + 1
= 9
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Community Answer
In a complete k-ary tree, every internal node has exactly k children o...
Nk
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In a complete k-ary tree, every internal node has exactly k children or no child. The number of leaves in such a tree with n internal nodes is:a)nkb)(n – 1) k+ 1c)n( k – 1) + 1d)n(k – 1)Correct answer is option 'C'. Can you explain this answer?
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In a complete k-ary tree, every internal node has exactly k children or no child. The number of leaves in such a tree with n internal nodes is:a)nkb)(n – 1) k+ 1c)n( k – 1) + 1d)n(k – 1)Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In a complete k-ary tree, every internal node has exactly k children or no child. The number of leaves in such a tree with n internal nodes is:a)nkb)(n – 1) k+ 1c)n( k – 1) + 1d)n(k – 1)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a complete k-ary tree, every internal node has exactly k children or no child. The number of leaves in such a tree with n internal nodes is:a)nkb)(n – 1) k+ 1c)n( k – 1) + 1d)n(k – 1)Correct answer is option 'C'. Can you explain this answer?.
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