SOLUTION: Thanks so much! :) How many three-letter arrangements are possible using the letters of the word CANADA? The problem for me is the 3-letter part. :/ Any help would be extrem

If the word were, say, MONKEY instead of CANADA, the answer would be 6!
arrangements. because MONKEY has all different letters.

If we could tell the A's apart in CANADA, say, if it were CANADA, the answer 
would also be 6! ways.  But there are fewer ways than that, because we can't
tell the difference between the A's.

Let's select a typical arrangement of CANADA, say, NDAACA.

Of the 6! arrangments of CANADA. these 6 would all be counted separately 
among the 6! 

                    NDAACA
                    NDAACA
                    NDAACA
                    NDAACA
                    NDAACA
                    NDAACA

So just like NDAACA, every other arrangement is counted 6 times among
the 6!, too.  The reason it is 6 times too many is because in every arrangement
there are 3 places to put the red A times 2 places to put the green
A times 1 place to put the blue A.  That's 3! or 6 places to put the 3 A's.
So since the 6! counts each arrangement 3! or 6 times too many, we must
divide the 6! by 3!  :

                         6!    6·5·4·3·2·1
                         ——  = ——————————— = 6·5·4 = 120
                         3!       3·2·1  

Answer: 120 ways. 

Edwin