Discrete Mathematics
# Discrete Mathematics Warmups

The figure above consists of 19 unit squares. How many rectangles are there in the figure?

\(\)

**Note:** Squares are also considered as rectangles.

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

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.

×

Problem Loading...

Note Loading...

Set Loading...