Colegiul National C. Negruzzi (Iași - Roumanie)
A rectangular wall of size 2 × 10 is to be covered with tiles. The number of tiles is unlimited and each tile can be rotated according to your preference before mounting. In how many ways can we cover the entire wall using only 2 × 1 coloured tiles? What if we have access to both types of tiles, 1 × 1 and 2 × 1?
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