The no. of binary trees that can be generated having n nodes would be:
(2n C n) / (n+1) i.e the catalan no.

On Dec 28, 12:06 am, bugaboo <[email protected]> wrote:
> Given an inorder traversal only for a binary tree (not necessarily a
> BST), give a pseudo code to generate all possible binary trees for
> this traversal sequence.
>
> Firstly, how many binary trees can be generated given an in-order
> traversal? I know that given 'n' nodes, number of BTs possible is
> (2^n)-n. But if we are given a specific in-order sequence, can we cut
> down on this number?

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