What would you use Crobat against? The only pokemon I would use Crobat against is probably Machamp so want Air Slash/Air Cutter or Air Slash/Sludge Bomb.
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I prefer AS for STAB bonus, plus if I'm using Crobat I want to use him for his flying typing and attacks.
Sure bite does better but alot of Pokemon have bite, I want AS because only a few learn it