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100 students have enrolled to a college program. All 100 students take at least one of the following courses X, Y and Z 14

 

100 students have enrolled to a college program. All 100 students take at least one of the following courses X, Y and Z 14 of the students take X and Y and, of these, 4 take all courses 38 students take X . 53 students take Y 55 students take Z 20 students take only Y 23 students take only Z How many students have taken X but not Y or Z? Define 3 sets for X, Y, and Z, and find the answer using a Venn diagram. Please show all steps. (5 Marks)

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