SOLUTION: How many unique ways are there to arrange the letters in the word ERROR? Deals with permutations and combinations.

Question 1188027: How many unique ways are there to arrange the letters in the word ERROR? Deals with permutations and combinations.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

            As this problem is worded, printed and posted, it should be thrown into the closest GARBAGE BIN,
            since it is mathematically incorrect.

            The only correct, typical and reasonable formulation is as follows:

                How many DISTINGUISHABLE ways are there to arrange the letters in the word ERROR?

The solution and the answer are below.

        There are   =  = 5*4 = 20 distinguishable ways.


        We use 5! in the numerator, because there are 5 letters in the word,

        and we use 3! in the denominator, because there are 3 identical letters of "R".

Solved.

----------------

To see many other similar (and different) solved problems, look into the lesson
- Arranging elements of sets containing indistinguishable elements
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Combinatorics: Combinations and permutations".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

RELATED QUESTIONS
How many unique ways are there to arrange the letters in the word... (answered by TimothyLamb)

How many ways are there to arrange the letters in the word permutation? (answered by sudhanshu_kmr)

How many ways are there to arrange all of the letters in the word 'TRIAL' if each... (answered by math_helper)

decide if the situation involves permutations, or combinations. explain the reasoning. (answered by ikleyn)

List three permutations of the letters in the word STATISTICS, and how many different... (answered by Edwin McCravy)

1.In how many different ways can 6 classes be scheduled during a 6-period day? 2.In how... (answered by stanbon)

This is a basic problem on Combinations and Permutations. Here are 7 letters: A, L, T,... (answered by richard1234,ikleyn)

How many different ways can you arrange the letters in the word �NISSAN� ? (assume all (answered by stanbon)

How many permutations are there for the letters in the word... (answered by stanbon,venugopalramana)