When (x + y)^(11) is expanded, what is the sum of the coefficients?
Sum = 11C0 + 11C1 + 11C2 + 11C3 + 11C4 + 11C5 + 11C6 + 11C7 + 11C8 + 11C9 + 11C10 + 11C11
or = 1 + 11 + 55 + 165 + 330 + 462 + 462 + ... + 1
The sum of the coefficients is just the sum of the coefficients in the 11th row of Pascal's Triangle
This is given by 2^11 = 2048