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(52879)   (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  =  = 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.
|
|
|
