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Twenty boys all play either football or basketball (or both). If thirteen play football and ten play basketball, how many play both sports?
3
The sets P and Q intersect such that n(P)=11, n(Q)=29 and ?(P∪Q)=37. How many elements are in both P and Q?
3
In a form of 30 girls, 18 play netball and 14 play hockey, whilst 5 play neither. Find the number who play both netball and hockey.
7
The sets P and Q intersect such that n(P)=11, n(Q)=29 and ?(P∪Q)=37. How many elements are in both P and Q?
8
Of the 53 staff at a school, 36 drink tea, 19 drink coffee and 10 drink neither tea nor coffee. How mnay drink both tea and coffee?
8
Of the 32 students in a class, 18 play golf, 16 play the piano and 7 play both. How many play neither?
3
The sets M and N intersect such that n(M)=31, n(N)=18 and n(M ∪ N)=35. How many elements are in both P and Q?
14
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