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I think the admissions officers will appreciate the fact that you try and challenge yourself if you do choose to take a calculus class.
Calculus BC will move at a pace that's way faster than a pre-calculus class, so you might want to go with AB if you're not willing to spend the time. Of course, you could always start with BC and drop to AB.
Pulling off an A in Calculus BC will take some work, but it's not extremely difficult (although I was stressed a lot). It's relatively easy to get an A in Calculus AB.
For Ivy League entrances, I'd definitely recommend that you take a calculus course, even if you're going into humanities.
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