Q: 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: the function f ( n ) is defined as the product of all the consecutive positive integers between 3 and n ^ 2, inclusive, whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is
Options: a. 1, b. 2, c. 3, d. 4, e. 5
A:
c