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**usersmuser** In a class of students 21 play basketball, 32 students pay hockey, and 32 students play soccer. In addition we know that 12 students play both basketball and hockey, 14 students pay both basketball and soccer, 11 both hockey and soccer. Each student in this class plays at least one of the three sports. What is the smallest possible upper bound and the largest possible lower bound that can be determined with the given information for the number of students in this class?

Any hints on how to approach this?