Problem of the Fortnight #7

 

Pascal’s Triangle

 

            Pascal’s Triangle is a handy tool used to determine the coefficients of the polynomial expansion of (x+y)^n.  How many even numbers appear in the 199th row of Pascal’s triangle?  Please note the first row of the triangle is the row containing the two entries: 1  1.

 

Solutions are due by 4pm on Friday, December 10th in Goodrich 108

Problem courtesy of (to be revealed later!)