SOLUTION: How many different three-letter codes are there if only the letters A, B, C, D, and E can be used and no letter can be used more than once?

Algebra ->  Permutations -> SOLUTION: How many different three-letter codes are there if only the letters A, B, C, D, and E can be used and no letter can be used more than once?      Log On


   

Question 1132038: How many different three-letter codes are there if only the letters A, B, C, D, and E can be used and no letter can be used more than once?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Any of the 5 letters in the first position. It gives you 5 options.


Any of the 4 remaining letters in the 2-nd position. It gives you 4 independent  options.


Any of the 3 remaining letter in the 3-rd position. It gives you 3 independent  options.


The total number of three-letters codes is the product 5*4*3 = 60.    Answer

Solved.