SOLUTION: In how many ways can the letters of the word BEAUTY be arranged?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In how many ways can the letters of the word BEAUTY be arranged?      Log On


   

Question 1191839: In how many ways can the letters of the word BEAUTY be arranged?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

This word consists of 6 different letters, so, it admits 6! = 6*5*4*3*2*1 = 720 permutations of letters.


ANSWER.  There are 6! = 720 different arrangements.

Solved.

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

This problem is on PERMUTATIONS.

On  Permutations,  see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
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 lessons are 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.