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BEBRAS 2019 Grade 9-10 Round 2 Ext Question 11

BEBRAS · BEBRAS 2019 Grade 9-10 Round 2 Ext

Question 11

A 3 × 5 grid has either a dot or no dot in every cell. The source also states that not every cell contains a dot. Every contiguous 2 × 2 square must contain exactly one or three dots. An example follows.

Question illustration

How many such 3 × 5 grids are there?
  1. 32
  2. 64
  3. 128
  4. 256