Power's of 2 in pascal's triangle

Pascal's Triangle

Pascal's Triangle is a triangular array of numbers where each number is the sum of the two numbers above it. It Looks something like this:

      1
     1 1
    1 2 1
   1 3 3 1
  1 4 6 4 1

And on and on...

Patterns and properties

Pascal's Triangle can also be written like this

                           
                                  
                            \binom{2}{1}               \binom{