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Answer :
Final answer:
To find the number of different signals consisting of 10 flags using 4 white flags, 4 red flags, and 2 blue flags, you can use the concept of combinations. There are 210 different signals that can be made in this case.
Explanation:
To find the number of different signals consisting of 10 flags using 4 white flags, 4 red flags, and 2 blue flags, you can use the concept of combinations. The formula to find combinations is given by:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of flags and r is the number of flags of a particular color. Substituting the values, we get:
C(10, 4) x C(6, 4) x C(2, 2) = (10! / (4! x 6!)) x (6! / (4! x 2!)) x (2! / (2! x 0!)) = 210
Therefore, there are 210 different signals that can be made using 4 white flags, 4 red flags, and 2 blue flags.
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