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.Com
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)   (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

          =  = 1260.    ANSWER

Solved, answered and explained.

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


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


(b)    = 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.



RELATED QUESTIONS

How many different 4-letter arrangement can be formed from the letters in the word... (answered by stanbon)
How many different three letter permutations can be formed from the letters in the word... (answered by Theo)
how many different three letter permutations can be formed from the letters in the word... (answered by checkley77)
How many different three letter permutations can be formed from the letters in the word... (answered by checkley77)
How many different 4-letter permutations can be formed from the letters in the word... (answered by Edwin McCravy)
How many different 4-letter permutations can be formed from the letters in the word... (answered by ikleyn,math_tutor2020)
How many different letter arrangments can be made from the leters in the word... (answered by Edwin McCravy)
Using the letters from the word “PHYSICAL”, how many 3 - letter codes can be formed... (answered by ikleyn)
In the word DISCRETE how many : 1. 8 letter word can be formed 2. 7 letter word can... (answered by Edwin McCravy)