||Dan is first, Amy is second, Carrie is third, and
Bob is fourth.
The key is that Bob can't be first. So if Carrie
is between Amy and Bob, Carrie must be third,
and second and fourth place go to Amy and Bob,
but we don't know which is which. We do know that
Dan must be first. And one of the clues tell us
that Dan is next to Amy, which makes Amy second,
leaving fourth place for Bob.
Source: Lowell House,Brain