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A binary tree with n > 1 nodes has n1, n2 and n3 nodes of degree one, two and three respectively. The degree of a node is defined as the number of its neighbors. n3 can be expressed as
  • a)
    n1 + n2 - 1
  • b)
    n1 - 2
  • c)
    [((n1 + n2)/2)]
  • d)
    n2 - 1
Correct answer is option 'B'. Can you explain this answer?
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A binary tree with n > 1 nodes has n1, n2and n3nodes of degree one...
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A binary tree with n > 1 nodes has n1, n2and n3nodes of degree one...
Nodes has n-1 edges.

This is because each node, except for the root node, has exactly one incoming edge (or parent) and at most two outgoing edges (or children). Therefore, the total number of edges in the tree is equal to the number of nodes minus one.

This property is true for all binary trees, regardless of their shape or structure.
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A binary tree with n > 1 nodes has n1, n2and n3nodes of degree one...
B)
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