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February 1, 2025 16:22
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<USER> | |
### 5. Four Friends | |
Anna, Bartosz, Cezary, and Danuta are four friends. Each of them is preparing for a specific profession: archaeologist, bookkeeper, carpenter, and dentist. It is known that Bartosz will be a dentist. Only one of these people is training for a profession that starts with the same letter as their name, and that person is **not** Anna. | |
**What professions did Anna and Danuta choose?** | |
<ASSISTANT> | |
Let me solve this step by step by identifying the given constraints and logical deductions. | |
Constraints from the puzzle: | |
* There are 4 friends: Anna, Bartosz, Cezary, and Danuta | |
* The 4 professions are: archaeologist, bookkeeper, carpenter, and dentist | |
* Bartosz will be a dentist | |
* Only one person's profession starts with the same letter as their name | |
* Anna's profession does NOT start with 'A' | |
Let's solve: | |
1. We know Bartosz is a dentist, so that profession is taken. | |
2. Only one person has a profession starting with their name's first letter, and it's not Anna. Looking at the remaining people: | |
* Cezary could be carpenter | |
* Danuta could be dentist (but we know Bartosz is the dentist) | |
* So Cezary must be the one whose profession starts with the same letter as their name - they must be the carpenter | |
3. Now we know: | |
* Bartosz → dentist | |
* Cezary → carpenter | |
* Anna → not archaeologist (given) | |
* Danuta → remaining profession | |
4. The remaining professions are: | |
* archaeologist | |
* bookkeeper | |
5. Since Anna cannot be an archaeologist, she must be the bookkeeper. | |
Therefore, Danuta must be the archaeologist. | |
Answer: Anna will be a bookkeeper, and Danuta will be an archaeologist. |
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