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.
~~~~~~~~~~~~~~~~


<pre>
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!/(3!*3!*2!)}}} = {{{(1*2*3*4*5*6*7*8)/(1*2*3*1*2*3*1*2)}}} = 560.
</pre>

Solved.


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


For explanations, and to see many other similar solved problems, look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/Arranging-elements-of-sets-containing-undistinguishable-elements.lesson>Arranging elements of sets containing indistinguishable elements</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Combinatorics: Combinations and permutations</U>". 



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.