GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
101 views
number of distinct binary tree,that can be created by 5 nodes(distinct)
asked in Graph Theory by Veteran (18.4k points)   | 101 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 (8.6k 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 Apr 2017
  1. akash.dinkar12

    3660 Points

  2. Divya Bharti

    2580 Points

  3. Deepthi_ts

    2040 Points

  4. rude

    1966 Points

  5. Tesla!

    1768 Points

  6. Debashish Deka

    1614 Points

  7. Shubham Sharma 2

    1610 Points

  8. Prashant.

    1492 Points

  9. Arunav Khare

    1464 Points

  10. Arjun

    1464 Points

Monthly Topper: Rs. 500 gift card

22,086 questions
28,062 answers
63,294 comments
24,160 users