A student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?  Choose the correct option:
A) 7  B) 8  C) 9  D) 10  E) 12

Rationale: "xc 1 * ( x - 1 ) c 1 = 132 x ^ 2 - x - 132 = 0 ( x - 12 ) ( x + 11 ) = 0 x = 12 , - 11 - 11 ca n ' t possible . hence 12 should be the answer e"
Answer: E