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SEAMO 2027 - Paper C - SET 05 - Self-study Question 8

SEAMO · SEAMO 2027 - Paper C - SET 05 - Self-study

Question 8

How many ways are there to form a $5\text{ cm}\times3\text{ cm}$ rectangle from squares with side lengths 1 cm, 2 cm and 3 cm?

Counting convention: tile a fixed 5-by-3 rectangle completely, without gaps or overlaps, on its unit grid. Any nonnegative number of each square size may be used. Different tile positions count separately, including reflected arrangements. The source gives no such convention and its short key conflicts with this interpretation.