# How to find the total number of unique three-letter arrangements for this word?

• June 19th 2011, 03:12 PM
thegameplayer
How to find the total number of unique three-letter arrangements for this word?
How do i determine the total number of unique three-letter arrangements that are possible using the letters in the word "believe"?
• June 19th 2011, 03:41 PM
Plato
Re: How to find the total number of unique three-letter arrangements for this word?
Quote:

Originally Posted by thegameplayer
How do i determine the total number of unique three-letter arrangements that are possible using the letters in the word "believe"?

There is one string with all $e^\’s$: $eee$

Look at the collection $\{b,e,l,i,v\}$, how many three letters strings of distinct letters from that set are there?

Look at the collection $\{b,l,i,v\}$, how many three letters strings with one leter from that set with two $e^’s$ are there?