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Cruise Lines

 
Let's analyze the information given and deduce the travel details for each person:

1. The man traveling four weeks aboard Carnival Cruise Lines did not go in February or November.
This means that the person who traveled for four weeks is not Tony, Theresa, or Jacqueline.

2. Jacqueline did not travel for one or three weeks and she did not choose Island Cruises.
Jacqueline did not travel for one or three weeks.
Therefore, she must have traveled for two or four weeks.
Jacqueline did not choose Island Cruises.

3. No one traveled aboard Disney Cruise Lines during February.
This rules out February for anyone traveling with Disney Cruise Lines.

4. Eric did not travel for four weeks.
Eric did not travel for four weeks, so he traveled for one, two, or three weeks.

5. Theresa chose Celebrity Cruises during January but for more than 1 week.
Theresa traveled with Celebrity Cruises for more than 1 week, and it was during January.

Now let's put this information together:

- The person traveling for four weeks is not Tony, Theresa, or Jacqueline. Therefore, it must be Eric.
- Jacqueline did not choose Island Cruises, and she did not travel for one or three weeks. So, she traveled for two weeks.
- Since Jacqueline traveled for two weeks and did not choose Island Cruises, and Theresa traveled for more than 1 week with Celebrity Cruises in January, the only option left for Jacqueline is Carnival Cruise Lines in either November or December.
- Eric traveled for four weeks with Carnival Cruise Lines. Since it's not in November or February, it must be in December.
- Theresa traveled for more than 1 week with Celebrity Cruises in January.
- Since Disney Cruise Lines is not an option in February, the only option for Tony is Island Cruises in February.

Therefore, the travel details are as follows:
- Tony: Island Cruises, February, 3 weeks
- Theresa: Celebrity Cruises, January, more than 1 week
- Jacqueline: Carnival Cruise Lines, December, 2 weeks
- Eric: Carnival Cruise Lines, December, 4 weeks

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