Question

How many rooted and unrooted phylogenetic trees, respectively, are possible with four different
sequences?
(A) 3 and 15 (B) 15 and 3 (C) 15 and 12 (D) 12 and 3

Answer 1

Answer:

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Answer 2

Answer:

The answer is (A) 3 and 15.

Explanation:

For four different sequences, the number of rooted and unrooted phylogenetic trees can be calculated as follows:

• For rooted trees: The number of rooted trees for n sequences is (2n-3)!!, where !! represents a double factorial. Therefore, for four sequences, the number of rooted trees is (24-3)!! = 3!! = 31 = 3.

• For unrooted trees: The number of unrooted trees for n sequences is (2n-5)!!/(n-3)!, where !! represents a double factorial. Therefore, for four sequences, the number of unrooted trees is (2*4-5)!!/(4-3)! = 15.

The answer is (A) 3 and 15.

There are 3 possible rooted trees and 15 possible unrooted trees for four different sequences.

Rooted trees have a single root and directed edges, while unrooted trees have no designated root and undirected edges.

These trees are used to represent evolutionary relationships between different species or sequences based on their similarities and differences.

Learn more about Rooted trees :

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