\(600\) residents were surveyed about whether they liked \(3\) different candidates running for certain offices in their town. \(35\%\) of those surveyed liked candidate \(A,\) \(40\%\) liked candidate \(B,\) and \(50\%\) liked candidate \(C.\) If all residents liked at least one of three candidates and \(18\%\) liked exactly \(2\) of the three candidates, then how many of the residents liked all three of the candidates?

A. 150
B. 108
C. 42
D. 21
E. 7

Answer: D

Source: Veritas Prep