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MathNet 2015-part-01 — 191 problems (EN–VI) Question 191

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 191

Consider a table $19 \times 2015$. *Block* is the figure consisting of a square $10 \times 10$ and a single cell pasted to the right of the most upper-right cell of the square. Rotation of a block is not allowed. Find the number of ways in which maximum number of blocks can be positioned on the table. (The blocks do not overlap and the cells of each block coincide with the cells of the table.)