There are only 3 possibilities...
1) The $10 is Tom's: Tom tells the truth, Dick tells the truth, Harry lies
2) The $10 is Dick's: Tom lies, Dick lies, Harry tells the truth
3) The $10 is Harry's: Tom lies, Dick lies, Harry lies
Clearly 3) can't be correct, but technically both 1) and 2) are acceptable options. 1) makes more sense than 2) if you consider how people would be likely to react in the situation.
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