Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents B watch all of the shows?
Select:
A) 150
B) 108
C) 42
D) 21
E) -21
OA is D.   100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula   100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC.   The term between parantheses value 18% so the equation to resolve is   100=35+40+50-18-2ABC   therefore the value of ABC is 3.5% of 600,B is 21. 21 is the correct answer
<result>D</result>
Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents B watch all of the shows?