GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
109 views
number of distinct binary tree,that can be created by 5 nodes(distinct)
asked in Graph Theory by Veteran (18.4k points)   | 109 views

1 Answer

0 votes
$5$ distinct nodes means you can uniquely identify each node based on some parameter say a key value, Then the solution to this problem is given by bell's number.

Number of binary trees possible $= \binom {2n}{n}*n!$
answered by Boss (8.7k points)  
Could you please elaborate this solution numerically?

I think its not correct.

#unlabelled binary trees possible = nth catalan number

Now, being labelled , they cn be permuted in n! ways.

So, answer = $\frac{\binom{2n}{n}}{n+1} * n!$

Correct me if wrong.

Bell no. gives partitions. It doesnt consider permutations.

Related questions

0 votes
0 answers
1
0 votes
2 answers
2
0 votes
0 answers
3


Top Users Jul 2017
  1. Bikram

    4910 Points

  2. manu00x

    2940 Points

  3. Debashish Deka

    1870 Points

  4. joshi_nitish

    1776 Points

  5. Arjun

    1506 Points

  6. Hemant Parihar

    1306 Points

  7. Shubhanshu

    1128 Points

  8. pawan kumarln

    1124 Points

  9. Arnab Bhadra

    1114 Points

  10. Ahwan

    956 Points


24,099 questions
31,074 answers
70,703 comments
29,407 users