Aspire Faculty ID #18623 · Topic: UGC NET Computer Science Dec 2022 Shift II (Paper II) · Just now
UGC NET Computer Science Dec 2022 Shift II (Paper II)

How many different binary trees are possible with $n$ nodes?

Solution

The number of different binary trees possible with $n$ nodes is given by the Catalan number.

Catalan number formula is:

$C_n=\frac{1}{n+1}\binom{2n}{n}$

So, the number of different binary trees possible with $n$ nodes is:

$\frac{1}{n+1}\binom{2n}{n}$

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