SOLUTION: 1.How many different signal can be made from 6 flags of which 3 are white, 2 are red and 1 is blue, if each signal consist of 6 flags placed one above the other? 2.How many diff

Algebra ->  Permutations -> SOLUTION: 1.How many different signal can be made from 6 flags of which 3 are white, 2 are red and 1 is blue, if each signal consist of 6 flags placed one above the other? 2.How many diff      Log On


   



Question 217314: 1.How many different signal can be made from 6 flags of which 3 are white, 2 are red and 1 is blue, if each signal consist of 6 flags placed one above the other?
2.How many different signal can be made from 5 different flags. If a signal consist of 5 flags placed one above the other on a flagpole?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
Let's look at the following first.
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How many different ways can you display 3 flags if all flags are different?
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If you let the first flag equal a, and the second flag = b, and the third flag = c, then those ways are:
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abc
acb
bac
bad
cab
cba
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How many different ways can you display 3 flags if 2 of the flags are the same?
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replace a with x and b with x to get:
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xxc
xcx
cxx
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In the first case, the answer was 3! = 3*2*1 = 6 ways.
In the second case, the answer was 3!/2! = 3*2*1/(2*1) = 3 ways.
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Same concept applies with larger numbers
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question number 1:
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How many different signal can be made from 6 flags of which 3 are white, 2 are red and 1 is blue, if each signal consist of 6 flags placed one above the other?
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Answer is
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question number 2:
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How many different signal can be made from 5 different flags. If a signal consist of 5 flags placed one above the other on a flagpole?
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Answer is 5%21+=+5%2A4%2A3%2A2%2A1+=+120
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