SOLUTION: I am having trouble with a question, and I think I know the answer and I just need someone to tell me if it is right. How many arrangements of the letters in the word o l i v e ca

Algebra ->  Permutations -> SOLUTION: I am having trouble with a question, and I think I know the answer and I just need someone to tell me if it is right. How many arrangements of the letters in the word o l i v e ca      Log On


   



Question 6874: I am having trouble with a question, and I think I know the answer and I just need someone to tell me if it is right. How many arrangements of the letters in the word o l i v e can you make if each arrangement must use three letter?
I think the answer is 5*4*3*2*1 is this answer right, Can someone please let me know. My paper is due tomorrow. Please?

Answer by Pieter(35) About Me  (Show Source):
You can put this solution on YOUR website!
the solution to this problem is called 'permutations'.
the number of arrangements you can make with n different symbols, is equal to n!. That is called the 'faculty' of n, defined as n! = n x (n-1) x ... 2 x 1.
This means that you are right!

The word in you problem counts 5 symbols, so you can make 120 arrangements with it.
greets,
Pieter
contact me if you have any problems!