Final answer:
The old seaman chose the Admiral Benbow inn because he liked it.
Step-by-step explanation:
In the story 'The Open Boat,' the old seaman chooses the Admiral Benbow inn because he liked the inn. The text does not provide specific reasons why he liked the inn, but it implies that he found it appealing for some personal reason. The other options given in the question, such as it being the first inn he found or not many people coming there, are not mentioned in the text.