SOLUTION: There are 6 positions on a flagstaff and 6 flags, of which 3 are red, 2 blue, and 1 white. How many different signals can be made by displaying all the flags simultaneously?

Algebra ->  Permutations -> SOLUTION: There are 6 positions on a flagstaff and 6 flags, of which 3 are red, 2 blue, and 1 white. How many different signals can be made by displaying all the flags simultaneously?      Log On


   



Question 957181: There are 6 positions on a flagstaff and 6 flags, of which 3 are red, 2 blue, and 1 white. How many different signals can be made by displaying all the flags simultaneously?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
If all 6 flags were distinguishable the answer would be 6!

However, since flags of the same color are not distinguishable, we must
divide that by the each of the numbers of ways to arrange the
indistinguishable flags.  So the solution is

6%21%2F%283%212%21%29%22%22=%22%2260

Edwin