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Question10 (a) Core Mathematics June 2019 Paper 2
In a class of 50 students. 24 like football, 21 basketball and 18 cricket. Six like football and basketball only, 3 like basketball only. 5 like all the three. games and 14 did not like any of the three games.
- Illustrate this information on a Venn diagram.
- Find the number of students who like:
- football and cricket only;
- exactly one of the games.
The Answer to Wassce Core Mathematics June 2019 Paper 2 Question 10 (a)
n(U)= 50 , n(F) = 24, n(B) = 21, n(C) =18,
n(F n B only) = 25, n(B only) = 3, n(F nB nC) = 5, n(F u B u C)’ = 14
Let n(F n C only) = x, n(B nC only) = y n(F only) = m, n(C only) = b
(i) The Venn diagram is shown below.
(ii) From set B: 6+5+3+y= 21
14+ y = 21
18+m+6+3+14=50 nz + 41= 50
From set F:
m + 6+5 = 24
9+x+6+5 = 24 x+ 20 = 24 x =4
From set C: x+5+ y+n =18.
4+5+7+b=18 b+16=18 b = 2
(a) The number of students who like football and cricket only
From the above calculations the answer = 4
(b) The number of students who like Exactly one of the games
= 9+3+2 = 14
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