In Pascal's Triangle, the third row has four elements, and the sum of these elements is 8. What is the sum of the elements in the tenth row? (Note that we are counting the top row with a single 1 as the 0th row).
Here is Pascal's Triangle:
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
1 10 45 120 210 252 210 120 45 10 1 = R 10
The 10th row should have a sum of: 2^10 =1,024
