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Set Theoryhard
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In a survey of 300 employees, a Venn diagram with three overlapping circles represents those who like Coffee (CCC), Tea (TTT), and Juice (JJJ). The regions show: ∣C only∣=50|C \text{ only}| = 50∣C only∣=50, ∣T only∣=45|T \text{ only}| = 45∣T only∣=45, ∣J only∣=40|J \text{ only}| = 40∣J only∣=40, ∣C∩T only∣=35|C \cap T \text{ only}| = 35∣C∩T only∣=35, ∣C∩J only∣=30|C \cap J \text{ only}| = 30∣C∩J only∣=30, ∣T∩J only∣=25|T \cap J \text{ only}| = 25∣T∩J only∣=25, and ∣C∩T∩J∣=20|C \cap T \cap J| = 20∣C∩T∩J∣=20. How many employees like none of these beverages?