SOLUTION: 1. How many different 7-letter codes can be made from the word CONCERN? 2. How many different bangles can be formed from 8 different colored beads?

Algebra ->  Permutations -> SOLUTION: 1. How many different 7-letter codes can be made from the word CONCERN? 2. How many different bangles can be formed from 8 different colored beads?      Log On


   

Question 1179170: 1. How many different 7-letter codes can be made from the word CONCERN?
2. How many different bangles can be formed from 8 different colored beads?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  There are 7 letters, in all.

     Of them, letter "C" has multiplicity 2, and

              letter "N" has multiplicity 2.


     THEREFORE, the formula and the answer for this question are

         7%21%2F%282%21%2A2%21%29 = %281%2A2%2A3%2A4%2A5%2A6%2A7%29%2F%282%2A2%29 = 1260.    ANSWER

Solved, answered and explained.

See the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.


============== 


(b)   8%21%2F8 = 7! = 7*6*5*4*3*2*1 = 5040 different ways.    ANSWER

Solved.

See the lesson
    - Persons sitting around a cicular table
in this site,  and learn the subject from there.


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.