For every integer \(n \ge 3,\) the function \(g(n)\) is defined as the product of all the odd integers from \(1\) to

[VJesus12]

For every integer \(n \ge 3,\) the function \(g(n)\) is defined as the product of all the odd integers from \(1\) to \(n,\) inclusive. What is the value of \(g(100) - g(99)?\)

A. 0
B. 1
C. 3
D. 99
E. 100

Answer: A

Source: Manhattan GMAT