SOLUTION: Given the letter set {F-L-U-O-R-I-N-E}, how many three letter groups could you make if the end letters have to be vowels? (these three-letter "groups" do not have to make any sense

Algebra ->  Probability-and-statistics -> SOLUTION: Given the letter set {F-L-U-O-R-I-N-E}, how many three letter groups could you make if the end letters have to be vowels? (these three-letter "groups" do not have to make any sense      Log On


   



Question 516081: Given the letter set {F-L-U-O-R-I-N-E}, how many three letter groups could you make if the end letters have to be vowels? (these three-letter "groups" do not have to make any sense.) Repetition is not permitted.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 vowels. The permutations of 4 things
taken 2 at a time is +4%2A3+=+12+
There are 12 ways to put vowels at the ends
That leaves 6 other letters in the
8 letter word
The possible permutations
are +6%2A5%2A4%2A3%2A2%2A1+=+720+
The possible arrangements of these 2 groups is
+12%2A720+=+8640+
Hope I got it