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The image appears to contain a problem related to forming committees with certain conditions. Specifically, you are likely asked to determine the number of ways to choose a committee, based on multiple-choice options involving combinations of certain letters (A, B, C, D, etc.).

### Let’s break down the problem:

- You have sets of letters (A, B, C, D, etc.) presented in different patterns.
- The combinations in option **C** consist of distinct sets of four letters, for example: ABCD, ABCE, ABCF, and so on.
- In option **D**, the combinations seem to repeat letters, such as AAAA, BBBB, CCCC, etc.

It looks like the question is asking for the total number of combinations (or ways) to form a committee.

### To analyze:
- **Option C** involves choosing 4 distinct letters from a pool, which suggests it's related to combinations (e.g., \( \binom{n}{r} \), where \( n \) is the total number of items and \( r \) is the number chosen).
- **Option D** involves repeated letters, which may suggest combinations with repetition.

Would you like help solving the exact number of ways to choose the committee, or do you need more explanation on how to calculate combinations?

### Here are 5 related questions you could explore:
1. What is the formula for combinations and how is it applied?
2. How do combinations with repetition differ from normal combinations?
3. What are the conditions under which combinations are used in counting problems?
4. How many ways can you form a committee from a set of n items?
5. How does the principle of inclusion-exclusion work in combinatorics?

**Tip:** When working with combinations, remember that the order of selection doesn’t matter. For permutations, order does matter.

There are ______ ways to choose the committee.

Explore how to solve a combinatorics problem related to choosing a committee. Learn how to apply combination formulas and counting principles to determine the number of ways to form groups with specific conditions. Suitable for Grades 10-12.

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