https://file.aiquickdraw.com/mathbot/file/1727712957282zri7m8ux.jpg

Let's analyze the conditions given for forming a team of four students, and then check which of the options is valid based on the constraints.

### Constraints:
1. **B will not be with F.**
2. **A and C must be together.**
3. **E will not be with A.**
4. **G and D must be together.**
5. **F will not be with G.**

Now, let's evaluate each team option one by one:

### 1. ABCE
- **A and C**: Together (✅)
- **E will not be with A**: **Invalid** (A and E are both present) ❌

This team is **invalid**.

---

### 2. BDEG
- **B will not be with F**: F is not present (✅)
- **A and C must be together**: Neither A nor C are present, so this condition is satisfied (✅)
- **G and D must be together**: Both G and D are present (✅)
- **F will not be with G**: F is not present, so this condition is satisfied (✅)

This team satisfies all conditions and is **valid**.

---

### 3. BDFA
- **B will not be with F**: B and F are together, which violates the rule (❌)

This team is **invalid**.

---

### 4. DEAG
- **A and C must be together**: A is present, but C is not, which violates the rule (❌)

This team is **invalid**.

---

### Conclusion:
The only valid team is **BDEG**.

Would you like more details or have any further questions?

Here are some related questions to think about:
1. How many different valid teams could you form with different sets of constraints?
2. What if "F will not be with G" was removed as a condition? How many valid teams would be possible then?
3. What if A and C were allowed to be separate? How many combinations of valid teams would that allow?
4. How does the order of the constraints affect the possible solutions?
5. Can you generalize this problem for a larger group of students with different conditions?

**Tip**: Always list out all constraints when solving logic puzzles to ensure each option is systematically evaluated.

A team of four students has to be selected from A, B, C, D, E, F, and G according to the following constraints: B will not be with F. A and C must be together. E will not be with A. G and D must be together. F will not be with G.

Solve a team selection puzzle with logical constraints involving seven students. Learn to evaluate conditions and choose a valid team using reasoning and combinatorics. Suitable for Grades 6-8.

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