SOLUTION: determine the number of three letter arrangements that are possible with the letters in the word phone if each arrangement must begin and end with a different vowel and have conson

Algebra ->  Permutations -> SOLUTION: determine the number of three letter arrangements that are possible with the letters in the word phone if each arrangement must begin and end with a different vowel and have conson      Log On


   



Question 969316: determine the number of three letter arrangements that are possible with the letters in the word phone if each arrangement must begin and end with a different vowel and have consonants in the middle.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If you are allowed to repeat a previously used letter than there are 2 ways to choose the first letter, 3 ways to choose the middle letter, and 2 ways to choose the last letter. So 2 times 3 times 2.

If you are NOT allowed to repeat a previously used letter, then 2 times 3 times 1.

John

My calculator said it, I believe it, that settles it