Counting paths on a grid using the factorial shortcut

Counting paths on a 7 by 5 grid using the combination formula

Counting paths through intermediate points using the fundamental counting principle

Counting paths from A to B that must pass through point C

Counting paths in an irregular grid with missing boxes

Counting paths through an irregular grid using diagonal addition

Counting paths through an irregular, non-rectangular grid

Counting paths in an irregular grid with carry-over technique

Counting diagonal paths across a checkerboard

Counting paths on a checkerboard with a forbidden square

Counting paths when jumping over a forbidden point is allowed