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题目

MDM4U - Mathematics of Data Management 12 (2025-26) - A

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Question text A restaurant offers 3 appetizers, 4 mains, and 2 desserts. Student 1:"I was asked to find how many meals include 1 appetizer and 1 dessert. I did C(3,1) × C(2,1) = 6."Answer 1 Question 44[select: , The student is correct; the multiplicative principle was used properly and the total is 6., The student is incorrect; combinations are not valid here and the correct value is 5., The student is incorrect; additive principle should have been used and the total is 3.] Student 2:"I was asked to find how many full 3-course meals can be made. I did 3 + 4 + 2 = 9."Answer 2 Question 44[select: , The student is correct; additive method is valid here and 9 is the total., The student is incorrect; multiplicative principle should have been used. The correct value is 24., The student is incorrect; permutations should have been used and the result is 720.] Student 3:"I was asked to find how many meals include 1 main or 1 dessert. I added: 4 + 2 = 6."Answer 3 Question 44[select: , The student is correct; additive principle applies, and the result is 6., The student is incorrect; the meals should be multiplied. The correct value is 8., The student is incorrect; overlap must be subtracted and the correct value is 5.]

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The problem describes three categories in the menu: 3 appetizers, 4 mains, and 2 desserts. The question asks: how many meals include 1 appetizer and 1 dessert. Option A analysis: The student’s calculation uses the multiplicative principle by choosing 1 appetizer from 3 options and 1 dessert from 2 options. Since the choice of appetizer and dessert are independent, the total number of such meals is ......Login to view full explanation

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