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SASMO 2019 Grade 10 Question 9

SASMO · SASMO 2019 Grade 10

Question 9

The coefficients in $(x+y)^n$ are related to Pascal’s triangle shown below. For example, $(x+y)^3=x^3+3x^2y+3xy^2+y^3$, whose coefficients $1,3,3,1$ form the fourth row. What is the sum of the coefficients of $(x+y)^8$?

Question illustration
  1. 128
  2. 256
  3. 512
  4. 127
  5. None of the above