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MA is correct with "a walk".
As I was going to St Ives
I met a man with seven wives
Each wife had seven sacks
Each sack had seven cats
Each cat had seven kits
Kits, cats, sacks, wives
How many were going to St Ives?
An old classic.
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No, no. You ask how many of THEM are going to St. Ives, not if YOU are going to St. Ives.
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Please point out the "them" in that poem.
There. You're wrong. Only the last line is important. It's not stated if the narrator, or the group of people is meant. It just says how many went to St. Ives.
Therefor, the only logical answer is the one I gave:
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If the family came from St Ives, then 1, if they join the "I", it's everything in the family, plus 1, the "I".
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EDIT: Also, I looked up the riddle about the room. It's very farfetched, and almost impossible to come up with the answer, if you've never heard it before.