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 if 3 of the

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 if 3 of the       Log On


   



Question 1199291: 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 if 3 of the flags are white, 3 are red, and 2 are blue.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 if 3 of the flags are white, 3 are red, and 2 are blue.
~~~~~~~~~~~~~~~~

It is the same as to ask how many 8-letter distinguishable words
can be made using 3 letters W, 3 letters R and 2 letters B.


The anwer is  8%21%2F%283%21%2A3%21%2A2%21%29 = %281%2A2%2A3%2A4%2A5%2A6%2A7%2A8%29%2F%281%2A2%2A3%2A1%2A2%2A3%2A1%2A2%29 = 560.

Solved.

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

For explanations, and to see many other similar solved problems, look into the lesson
    - Arranging elements of sets containing indistinguishable elements
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 lesson is 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.