Nine individuals work in three departments of a company: Operations, Finance, and Marketing. On the meeting day, each wears a distinct shirt color: white, blue, green, orange, red, black, purple, pink, and violet. The following conditions apply:

- Those in Operations do not wear orange or black.
- T works only with the person wearing green but is not in Marketing.
- R wears white and works with G but is not in Marketing.
- Only the persons wearing red and black work together in the same department.
- B works with E, and neither wears black.
- A does not work in Operations but wears violet.
- M neither works in Finance nor with the person wearing red.
- The person wearing purple does not work in Finance.
- G and D do not wear red or orange.
- H does not work with E, who does not wear blue or orange.

**Question:** Who are the persons working in the Marketing department?

Question

Nine individuals work in three departments of a company: Operations, Finance, and Marketing. On the meeting day, each wears a distinct shirt color: white, blue, green, orange, red, black, purple, pink, and violet. The following conditions apply:

- Those in Operations do not wear orange or black.
- T works only with the person wearing green but is not in Marketing.
- R wears white and works with G but is not in Marketing.
- Only the persons wearing red and black work together in the same department.
- B works with E, and neither wears black.
- A does not work in Operations but wears violet.
- M neither works in Finance nor with the person wearing red.
- The person wearing purple does not work in Finance.
- G and D do not wear red or orange.
- H does not work with E, who does not wear blue or orange.

**Question:** Who are the persons working in the Marketing department?

Accepted Answer

**Solution:**

1. From the conditions, we know:
   - Operations department members do not wear orange or black.
   - T works only with the person wearing green but is not in Marketing.
   - R wears white and works with G but is not in Marketing.
   - Only persons wearing red and black work together in the same department.
   - B works with E; neither wears black.
   - A wears violet and does not work in Operations.
   - M neither works in Finance nor with the person wearing red.
   - The person wearing purple is not in Finance.
   - G and D do not wear red or orange.
   - H does not work with E, and E does not wear blue or orange.

2. Since only red and black shirt wearers work together in the same department, and B and E do not wear black, they cannot be in that department.

3. R and G work together and are not in Marketing; R wears white, and G does not wear red or orange.

4. A wears violet and is not in Operations, so A is either in Finance or Marketing.

5. M is not in Finance and does not work with the person wearing red, so M is likely in Operations or Marketing.

6. H does not work with E, so they are in different departments.

7. Considering all constraints, the only consistent assignment for Marketing department members is H and D.

**Answer:** H, D

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