SOLUTION: 12 stalks of flower consisting of 3 red flowers, 4 blue flowers and 5 white flowers will be attached onto a string to make a wreath of flowers. Calculate the number of ways to arra

Question 1177524: 12 stalks of flower consisting of 3 red flowers, 4 blue flowers and 5 white flowers will be attached onto a string to make a wreath of flowers. Calculate the number of ways to arrange the flowers to make the wreath
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Let R, B, and W represent red, blue, and white flowers. Then the problem is asking for the number of different arrangements of the 12 objects

RRRBBBBWWWWW

By a well-known counting principle, that number of ways is

Use a calculator....

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

= = 27720 different arrangements in a linear string, and of this number, i.e. = 2310 for the circular wreath.

Solved.

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See the lessons
    - Arranging elements of sets containing indistinguishable elements
    - Persons sitting around a cicular table
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.

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