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 arrangeme

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 arrangeme      Log On


   

Question 664407: 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.
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
12,BECAUSE YOU HAVE 4 LETTERS TIMES3 DIFFERENT
ARRANGEMENTS=12
TREE DIAGRAM:
D,S,U,X
D,U,X,S
D,X,S,D
WHEN YOU DO EACH ONE OF THESE 3 TIMES YOU WILL HAVE
12 ARRANGEMENTS