Task: Question Answering
Input (English): 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
Output (English): c