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2026
The top of a table is rectangular and its dimensions are 6' × 10'. Two rectangular portions of the table top are painted in blue colour; both these portions have dimensions 2.5' × 8' and each of them has exactly two sides common with two edges of the table top. If the table is fixed to the ground and the remaining portion of the table top is painted in white, how many different patterns are possible when observed from above?

Explanation

Each rectangular blue portion can be placed in one of the two long edges of the table top, leading to two options for each side. Thus, with two identical blue portions, the combinations are: placing both on one side or one on each side, resulting in 2 distinct patterns when viewed from above (as their position symmetry leads to identical outcomes). Thus, there are 2×2=42 \times 2 = 4 distinct patterns possible.

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