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Answer :
Final answer:
To find the number of different signals that can be made by displaying five flags at a time, we use permutations. The number of permutations is 120.
Explanation:
To find the number of different signals that can be made by displaying five flags at a time, we need to consider the different arrangements of the flags. Since three flags are red, one is black, and one is blue, we can use the concept of permutations to calculate the number of arrangements.
The formula to find the number of permutations is:
P(n, r) = n! / (n - r)!
Plugging in the values, we have:
P(5, 5) = 5! / (5 - 5)! = 5! / 0! = 5! = 5 x 4 x 3 x 2 x 1 = 120
Therefore, there are 120 different signals that can be made by displaying the five flags on a flagpole.
Learn more about Permutations here:
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