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all right so weamp;#39;re going to be interpreting a venn diagram cardinalities with two sets for a real world situation so they already have the table filled in for us we just need to read the questions and interpret the results there so how many freshmen do not like wrap so if you look this whole circle here represents wrap so any number on the outside of it is what you would want to use so youamp;#39;d be taking 37 plus 74 and thatamp;#39;s going to be getting you 111 freshmen so check our answer 111 so then the next one says how many freshen like both classical and rap so classical and wrap is just this middle part here so the answer would just be the 39. now the next one says how many like classical music or they can like wrap so since itamp;#39;s or it consists of all three of these and you donamp;#39;t want to count this one twice so it would just be 37 plus 39 plus the 28 and thatamp;#39;s going to get us 104. so you just kind of look at what the question is asking and wh