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Solve the following problems: 1. The Hair Company offers two brands of shampoo: brand H and brand S. 100 people were surveyed and their brand preferences are as follows: 50 people liked brand 1 and 35 people liked brand S. What is the maximum number of people who liked both H and SP What is the minimum number of people who liked both H and SP What is the minimum number of people who do not like any of the brand? 2. In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events. How many played chess only, basketball only and volleyball only? How many students are there in all?
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