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Exercise 1.1 — Q.1(a)
Football and Basketball Sets
Question
In the Venn diagram, F and B are the sets of students who play football and basketball respectively. Find the required set operations.
F only12
F ∩ B18
B only10
Outside8
Solution
- \(n(F\cap B)=18\)
- \(n(F\cup B)=12+18+10=40\)
- \(n((F\cup B)^c)=8\)
- \(n_o(F)=12\)
- \(n(B-F)=10\)
- \(n(U)=12+18+10+8=48\)