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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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The number of combination of placements of square block in 3 different size (1x1, 2x2, 3x3) ...

There is a board of size (m x n). We are offered square blocks in 3 size (1x1, 2x2, 3x3). How many different ways to place blocks on the board. (We don't have to fill the board, some cell on the boa …
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