Quote: from Just Waiting Here at 8:44 pm on May 15, 2008
Quote: from marshmellowman at 12:30 pm on May 15, 2008
Just Waiting Here: Using Pascal's triangle is quite inefficient, it's much easier using the binomial formula. 
For smaller numbers from 1-10, I would argue that I could use pascals triangle MUCH faster than using the binomial formula.

I guess it depends on what you're trying to expand, at what grade. Here I used pascal's triangle back in GCSEs only. Here at A-Level we use this:
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Intelligence is the ability to avoid doing work, yet getting the work done.