Answer:
The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
Step-by-step explanation:
The possible pathways are as follows:
(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
