Answer :

Given: seven flags are available and out of which two are needed to make a signal.


From this, we can say, that we have to select two flags out of seven and arrange these two flags to get one signal.


So, number of ways to select two flags out of seven is 7C2. These flags can be arranged in 2! ways one below the other


Hence total number of signals possible are 7C2 × 2! = 42


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