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The maximum number of binary trees that can be formed with 4 unlabeled nodes is
  • a)
    10
  • b)
    15
  • c)
    14
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The maximum number of binary trees that can be formed with 4 unlabeled...
Solution:
To find the maximum number of binary trees that can be formed with 4 unlabeled nodes, we can use the formula for the number of binary trees with n nodes:

Number of binary trees = (2n)! / (n+1)!n!

where n is the number of nodes.

Using this formula, we can find the number of binary trees for n=4:

Number of binary trees = (2*4)! / (4+1)!4!
= 40320 / 120 * 24
= 14

Therefore, the maximum number of binary trees that can be formed with 4 unlabeled nodes is 14.

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Solution:

To find the maximum number of binary trees that can be formed with 4 unlabeled nodes, we can use the formula for the number of binary trees with n nodes:


  • Number of binary trees = (2n)! / (n+1)!n!

  • where n is the number of nodes.


Using this formula, we can find the number of binary trees for n=4:


  • Number of binary trees = (2*4)! / (4+1)!4!

  • = 40320 / 120 * 24

  • = 14


Therefore, the maximum number of binary trees that can be formed with 4 unlabeled nodes is 14.
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Community Answer
The maximum number of binary trees that can be formed with 4 unlabeled...
# unlabelled binary trees with 1 node
= 1
# with 2 nodes : -
= 2
# with 3 nodes :-
# with 4 nodes :-
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