SOLUTION: ALASKA has 6 letters with A repeated three times. Find the number of distinguishable permutations of letters in ALASKA. I worked it out to: 6/3=2. Am I correct?

Question 184193This question is from textbook saxon algebra 2
: ALASKA has 6 letters with A repeated three times. Find the number of distinguishable permutations of letters in ALASKA.
I worked it out to: 6/3=2. Am I correct? This question is from textbook saxon algebra 2

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
ALASKA has 6 letters with A repeated three times. Find the number of distinguishable permutations of letters in ALASKA.
I worked it out to: 6/3=2. Am I correct?
--------------
How can it be 2? You can list ALASKA, ALKAAS, ALSAAL, SAKALA, SAALAK, etc. That's 5, so it can't be 2.
-----------
Is it using all 6 letters? You didn't say, but if it is:
For the 1st letter, you can choose 1 of 6, then 1 of 5, then 1 of 4, etc, so you get 6*5*4*3*2 = 720 (6 factorial = 6!)
But any choice of a letter A is the same as the other 2, so you have to divide by 3*2*1 = 6.
720/6 = 120
RELATED QUESTIONS
find the number of distinguishable permutations of 6 letters that are chosen from the... (answered by stanbon)

How many distinguishable 6 letter words can be formed using the letters in... (answered by Edwin McCravy)

find the number of distinguishable permutations of the letters... (answered by greenestamps)

Find the number of distinguishable permutations in the letters in the words puppy and... (answered by ewatrrr,stanbon)

Find the number of distinguishable permutations of the letters in the word... (answered by ewatrrr)

Find the number of distinguishable permutations of the letters in the word MISSISSIPPI. (answered by math_helper)

Find the number of distinguishable permutations of the letters in he word dad & oregon (answered by ewatrrr)

find the number of distinguishable permutations of the letters in word... (answered by ikleyn,MathLover1)

Find the number distinguishable permutations of the letters in the word... (answered by ewatrrr)