adverb
modifies the verb 'in a bind'
preposition
shows the relationship between 'in' and 'a bind'
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When faced with a difficult situation, he found himself in a bind and had to make a quick decision.
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I'm really in a bind here - I don't know how I'm going to finish this project on time.
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I'm totally in a bind right now, I have no idea how to get out of this mess.
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Being in a bind is like being stuck in a maze with no way out, feeling trapped and helpless.