There are four even integers in the top five rows of Pascal's Triangle. How many even integers are in the top 10 rows of the triangle?
Here are the first 10 rows of Pascal's Triangle. Just count the EVEN integers:
1 = R 0
1 1 = R 1
1 2 1 = R 2
1 3 3 1 = R 3
1 4 6 4 1 = R 4
1 5 10 10 5 1 = R 5
1 6 15 20 15 6 1 = R 6
1 7 21 35 35 21 7 1 = R 7
1 8 28 56 70 56 28 8 1 = R 8
1 9 36 84 126 126 84 36 9 1 = R 9