Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions ?
Options: a. 54, b. 432, c. 2,160, d. 2,916, e. 148,824
b