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. How many arrangements

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. How many arrangements      Log On


   



Question 665102: 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.
How many arrangements have no vowels?
possible answers: 0,12,10.
explain too please, and thanks.

Found 2 solutions by ewatrrr, Edwin McCravy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
number of four-letter arrangements, without repetition, from the set:
{D, S, U, X} 4%2A3%2A2%2A1 = 24 possible arrangements
How many arrangements have no vowels? without repetition, NONE

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
I can't make that huge tree diagram on here because it has 24
things in the last column of branches of the tree.  However the 
answer to the question is 0 because you can't have a 4-letter 
arrangement with only 3 consonants without repeating one of the 
3 consonants.

Edwin