Math Is Fun Forum

Thanks for your answer!

So you created truth tables?
Can you show me how you did this? And how you determined the answers?

thanks :-)
I already did a search and also  looked on wikipedia ...
But I was just thinking to hard ... and tought what if they are asking ... to just count all the elements ... the maximum possible ways ...
But I understand that there are only 2 elements in the set given:

SET = {{1,2,{3},{4,5},6,{{7},8}},9}
-    Element 1 = set {1,2,{3},{4,5},6,{{7},8}}
-    Element 2 = number 9

But in this set .... {1,2,{3},{4,5},6,{{7},8}}
You can take more elements right?

Like this:

SET = {{1,2,{3},{4,5},6,{{7},8}},9}
- Element 1 = set {1,2,{3},{4,5},6,{{7},8}}
- Element 2 = number 9

The set that is actually an element = {1,2,{3},{4,5},6,{{7},8}}
- Element 1 = set {3}
- Element 2 = set {4, 5}
- Element 3 = set {{7}, 8}
- Element 4 = number 1
- Element 5 = number 2
- Element 6 = number 6

This set also had an element that has multiple sets = {{7}, 8}
- Element 1 = {7}
- Element 2 = number 8

So if we count all the elements the answer is 10 elements in total or am I wrong here ...

Thanks!

Thanks for the answer ...

I am just trying to understand the different walks and rules that apply to them...

So this means that A, B, A, B, A, B, C, B, A is also a closed walk?

Thanks,

Bob,

Thanks for looking into this ... are you saying that:
- if I want to assign a root I need to add arrows to the tree?

I still don't know how to find out what the answer is ... I am not really good at math ... so due to this question I had to dig allot and find out what everything means...
I know what a tree is and a graph, and in-degrees and out-degrees and a root, and what non-isomorphic is ...

And putting all this together should result that I can answer the question ... but I just can't.

The question is basically "How many non-isomorphic "rooted trees" can be created from this tree (undirected-tree) by choosing an appropriate root?"
And we need to come up with a NUMBER of trees ...

If I look at the definition of "rooted-tree" I see a few sample pics here --> http://mathworld.wolfram.com/RootedTree.html

So I still don't know how to determine this ...