In a certain class, 20 students do not like Spider-Man or Dark Knight. In the same class, 74 students like Spider-Man, 56 like Dark Knight, and 33 like both Spider-Man and Dark Knight.  How many students are there in the class?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 31E
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In a certain class, 20 students do not like Spider-Man or Dark Knight. In the same class, 74 students like Spider-Man, 56 like Dark Knight, and 33 like both Spider-Man and Dark Knight. 
How many students are there in the class? 

Provide complete solution. 

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