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. Find how many passed (i) in English and Mathematics but not in Science (ii) in Mathematics and Science but not in English (iii) in Mathematics only (iv) in more than one subject only.
Answers
3+3+1+2+4+9= 22
other answers can be easily counted from the graph above. If you find any trouble, ask me.
hope this helps :)
Solution:
Let, E stand for English, M stand for Mathematics and S stand for Science.
Total no. of students = 100
No. of students who passed in English = 15,
No. of students who passed in Mathematics = 12,
No. of students who passed in Science = 8,
No. of students who passed in English and Mathematics = 6,
No. of students who passed in Mathematics and Science = 7
No. of students who passed in English and Science = 4
No. of students who passed in all the three = 4
Hence from the Venn Diagram, the answers are
1) No. of students who passed in M and E but not in S is = 6
2) No. of students who passed in M and S but not in E is = 7
3 No. of students who passed In M only = 12
4) No. of students who passed in more than one subject =6 + 4 + 7 + 4 = 21
