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.