SOLUTION: Please help! Construct a tree diagram showing all four-letter arrangements, without repetition, from the set: {D, S, U, X} to answer the question below.

Algebra ->  Permutations -> SOLUTION: Please help! Construct a tree diagram showing all four-letter arrangements, without repetition, from the set: {D, S, U, X} to answer the question below.       Log On


   



Question 664361: Please help!
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set:
{D, S, U, X} to answer the question below.
What are the total number of possible arrangements

explain how you got the answer please!

Found 2 solutions by lynnlo, jim_thompson5910:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To make a tree, you start with S, D, U, X as 4 separate branches. Then off of each branch, you add 3 more branches of whatever letter you took.

For example, off the 'S' branch, you add the letters 'D', 'U', and 'X' as 3 additional branches.

This will give you the following tree diagram