Mathematics - Discrete Mathematics - Set theory - Set Operations

12 problems: Given A={1,2,3,4,5,6}, B={2,4,6,8,10}, C={1,3,5,7,9}, U={1,...,10}: (1) A∩B, (2) A∪C, (3) B\\A, (4) A', (5) (A∩B)∪C, (6) A∩B∩C, (7) |A∪B| using inclusion-exclusion. (8) Verify De Morgan: show (A∪B)' = A'∩B'. (9) 'In a class: 30 play soccer, 25 play basketball, 10 play both. How many play