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2018 AMC 8 Question 19

AMC8 · 2018 AMC 8

Question 19

In a sign pyramid a cell gets a “+” if the two cells below it have the same sign, and it gets a “-” if the two cells below it have different signs. The diagram below illustrates a sign pyramid with four levels. How many possible ways are there to fill the four cells in the bottom row to produce a “+” at the top of the pyramid?

Question illustration
  1. $ 2 $
  2. $ 4 $
  3. $ 8 $
  4. $ 12 $
  5. $ 16 $