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Answer :
Final answer:
Preston can design 240 different corsages for his prom date, calculated using the fundamental counting principle in mathematics.
Explanation:
This question is about the fundamental counting principle in mathematics, which allows us to find the total number of outcomes from multiple events. The fundamental counting principle states that if there are m ways to do one thing, and n ways to do another, then there are m*n ways of doing both.
Preston has 4 choices for colors, 3 choices for styles, 10 choices for ribbon, and 2 choices for boxes. Therefore, the total number of different corsages he can design is found by multiplying all the options together, which is 4*3*10*2 = 240. So, there are 240 different corsages Preston could design for his prom date.
Learn more about Counting Principle here:
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