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Answer :
Final answer:
The number of different signals consisting of 7 flags with the first flag being yellow is 48,048.
Explanation:
To find the number of different signals consisting of 7 flags, with the first flag being yellow, we need to consider the combination of colors for the remaining 6 flags. Since there are 15 different colored flags to choose from, we have 14 options for the second flag, 13 options for the third flag, and so on, until we have 8 options for the seventh flag.
Therefore, the number of different signals is calculated as 14 * 13 * 12 * 11 * 10 * 9 * 8 = 48,048.
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