SOLUTION: How many different sequences of the form <b>ccvcv</b> are there where <b>c</b> represents one of the 21 consonants and <b>v</b> represents one of the 5 vowels in the English alphab

Algebra ->  Permutations -> SOLUTION: How many different sequences of the form <b>ccvcv</b> are there where <b>c</b> represents one of the 21 consonants and <b>v</b> represents one of the 5 vowels in the English alphab      Log On


   

Question 1109789: How many different sequences of the form ccvcv are there where c represents one of the 21 consonants and v represents one of the 5 vowels in the English alphabet? Assume no letter can be repeated in the same word.
-----------
Since the sequence needs to be ccvcv I assume that this requires a permutation (order matters).
I was thinking about (21*20*19)+(5*4)...but I don't feel like this is the right way to go.
Thanks in advance for your help!
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
What's wrong with your expression is that there is no plus sign.  
It's "times" all the way:

21*20*19*5*4 = 159,600 

Edwin