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Mary wants to study a language course from each language. How many ways can Mary choose to take?

Question

Mary wants to study a language course from each language. How many ways can Mary choose to take?

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Solution

To answer the question of how many ways Mary can choose to take a language course, we need to clarify how many languages are available for her to choose from. Assuming she wants to take one course from each of n n different languages, the calculation can be generalized.

Break Down the Problem

  1. Assume there are n n different languages available.
  2. Mary wants to take one course from each language.

Relevant Concepts

  • The concept here is simple: if she has n n languages, and she can only select one course from each, she can think of this as each language offering its own distinct decision point.

Analysis and Detail

  1. Suppose each language has m m courses available (for simplifying the understanding).
  2. For each language, she can choose any one of m m courses.
  3. Therefore, the total number of ways Mary can choose her courses is given by multiplying the number of courses available for each language.

Mathematically, if there are n n languages and each language has m m courses, then: Total Ways=mn \text{Total Ways} = m^n

Verify and Summarize

  • Make sure to consider that the number of courses for each language is consistent.
  • To find a specific answer, we would need to know the values of n n and m m .

Final Answer

If there are n n languages with m m courses each, the total number of ways Mary can choose to take a language course is mn m^n . If specific numbers are provided, we can compute it directly.

This problem has been solved

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