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When (x + y)^(11) is expanded, what is the sum of the coefficients?

Guest May 13, 2020

geno3141 · Answer 1 · 2020-05-13T10:32:41

Sum = ₁₁C_{0 +} ₁₁C_1 + ₁₁C₂₊ ₁₁C_{3 +} ₁₁C₄₊ ₁₁C₅₊ ₁₁C_6 + ₁₁C_7 + ₁₁C_8 + ₁₁C_9 + ₁₁C_10 + ₁₁C₁₁

or = 1 + 11 + 55 + 165 + 330 + 462 + 462 + ... + 1

CPhill · Answer 2 · 2020-05-14T12:00:42

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