Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science, 4 in English and Science; 4 in all the three subjects. Then
(i) The number of students passed in English and Mathematics but not in Science is
(ii) The number of students passed in Mathematics only is
(iii) The number of students passed in more than one subject is
(i) | (ii) | (iii) | |
(a) | 1 | 3 | 2 |
(b) | 2 | 3 | 9 |
(c) | 3 | 2 | 9 |
(d) | 2 | 9 | 3 |
Text Solution
Verified by ExpertsB
Let 
and 
denote the total number of students, number of students passed in English, Mathematics and Science, respectively.
Here, 
, 
and 
(i) The number of students passed in English and Mathematics but not in Science
(ii) The number of students passed in Mathematics only
(iii) The number of students passed in more than one subject
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