SOLUTION: A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 8 flags that can be made using 4 white

Algebra ->  Permutations -> SOLUTION: A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 8 flags that can be made using 4 white       Log On


   



Question 1110534: A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 8 flags that can be made using 4 white flags, 2 red flags, and 2 blue flags.
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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The problem asks how many distinguishable permutations/arrangements are possible of 8 flags, of which 4 are white, 2 are red and 2 are blue.


The total number of permutations of 8 flags is 8!.


Of them, the number of distinguishable arrangements /(signals) is  8%21%2F%284%21%2A2%21%2A2%21%29 = 420.

Solved.

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On permutations, see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations

On distinguishable permutations, see the lesson
    - Arranging elements of sets containing indistinguishable elements

    - OVERVIEW of lessons on Permutations and Combinations
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.