ICSE Class 7 Answered
In a class of 62 students, 30 students like cricket, 25 students like football and 10 students like both the games. Find the number of students who :
(a) Like either cricket or football
(b) Like neither cricket nor football
Asked by Topperlearning User | 21 Sep, 2016, 10:12: AM
Expert Answer
Let U represent the universal set of the class of 62 students.
Therefore, n (U) = 62
Let C represent the set of students who like cricket
Therefore, n(C) = 30
Let F represent the set of students who like football
Therefore, n(F) = 25
Also, F C = set of students who like both cricket and football
Therefore, n (F C ) = 10
(i) Let F C = set of students who like either cricket or football
Therefore, n (F C) = n (C) + n(F) - n(F C ) = 30 + 25 - 10 = 45
Hence, no. of students who like either cricket or football = 45
(ii) Students who like neither cricket not football = n (F C)' = n (U) - n (F C) = 62 - 45 = 17
Answered by | 21 Sep, 2016, 12:12: PM