Discrete Mathematics
# Discrete Mathematics Warmups

How many triangles are there in the above image?

\[\large \displaystyle S = \{{1,2,3,\ldots, 19,20}\}\]

How many subsets of three numbers each can be formed from the set above so that no two consecutive numbers are in the set?

In the \( 4 \times 4 \) grid, how many squares have all 4 vertices on these dots?

**Bonus**: Generalize this for \(n \times n\) grid.

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