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(c) a signal is generated from 2 flags by putting one flag above the other. if 4 flags of different colours are available, how many different signals can be generated?

Answer :

Final answer:

To generate different signals from 2 flags of different colors, we can use the concept of permutations. There are 6 different signals that can be generated.

Explanation:

To determine the number of different signals that can be generated from 2 flags out of 4 different colors, we can use the concept of permutations. Since the order in which we place the flags matters, we use the formula for permutations with repetitions.

The formula is given by:

P(n1, n2, ..., nk) = n!/ (n1! * n2! * ... * nk!)

In this case, we have 4 flags of different colors, so n1 = n2 = 2 (since we are using 2 flags). Plugging in the values, we get:

P(2, 2) = 4! / (2! * 2!) = 24 / (2 * 2) = 6

Therefore, there are 6 different signals that can be generated from 2 flags of different colors.

Learn more about Permutations here:

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