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IMSO 2024 — Mathematics Exploration Question 5

IMSO Maths · IMSO 2024 — Mathematics Exploration

Question 5

A $3\times3$ grid is shown.

Question illustration

Andy wants to shade some cells so that no two shaded cells share an edge. How many ways are there to shade (a) fewer than 3 cells, (b) 3 or 4 cells, (c) more than 4 cells?