6. In a survey of 200 students, 100 joined the Math Club, 150 joined the Tennis Club and 140 joined the Culinary Club. Consider the following additional assumptions: 50 students joined the Math, Tennis and Culinary Clubs. 20 students joined in the Math Club and not in the other clubs. 75 students joined both the Math and Tennis Clubs. 120 students joined the Tennis and Culinary Clubs. Draw a Venn diagram associated to the problem. How many students a. joined the at most 2 clubs? b. joined the Tennis and Math Clubs but not the Culinary Club? c. joined none of the three clubs? d. joined the Math Club or the Culinary Club? e. exactly one club?

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