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Understanding the Context

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To find the total number of different combinations of lessons a student can select, we use the multiplication principle. The number of choices for each module is independent of the others. Therefore, the total number of combinations is the product of the number of lessons in each module:
A public health researcher is analyzing a survey with 5 questions, each having 4 possible responses (A, B, C, D). If a participant answers each question with exactly one response, how many different ways can a participant complete the survey?
Each question on the survey offers 4 choices, and since there are 5 questions, and each is answered independently, we again apply the multiplication principle. The total number of ways to complete the survey is the product of the number of choices per question:

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