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.Com
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) (Show Source): You can put this solution on YOUR website!
Let's look at the following first.
-----
How many different ways can you display 3 flags if all flags are different?
-----
If you let the first flag equal a, and the second flag = b, and the third flag = c, then those ways are:
-----
abc
acb
bac
bad
cab
cba
-----
How many different ways can you display 3 flags if 2 of the flags are the same?
-----
replace a with x and b with x to get:
-----
xxc
xcx
cxx
-----
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.
-----
Same concept applies with larger numbers
-----
question number 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?
-----
Answer is
-----
question number 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 is
-----
RELATED QUESTIONS
How many different signals can be made from 6 different flags if each signal is to... (answered by stanbon,sudhanshu_kmr)
How many different sequence of 10 signal flags can be constructed from 4 red flags and 6... (answered by rothauserc)
How many different signals, each consisting of 9 flags hung in a line, can be made from a (answered by stanbon)
A nautical signal consists of 6 vertical flags. Each flag can be red, blue or green.
a)... (answered by ewatrrr)
There are 6 positions on a flagstaff and 6 flags, of which 3 are red, 2 blue, and 1... (answered by Edwin McCravy)
A signal can be formed by running different colored flags up a pole, one above the other. (answered by ikleyn)
i) How many possible signals can be formed (e.g. 1st flag green, 2nd green, 3rd red, 4th
(answered by ikleyn)
A ship carries four signal flags, each a different color. The order in which the flags... (answered by sudhanshu_kmr)
A signal can be formed by running different colored flags up a pole, one above the other. (answered by ikleyn)