Question

In a class of 100 students the following is the qualifying result of the examinations in
three subjects Economics (E), Commerce (C) and Statistics(s). 10 students qualified
in all the three subjects. 20 qualified in E & C;30 qualified in C & S;25 in E& S.12 only
in E;5 only in C ;8 only in S. The number of students not qualified in all the three
subjects is​

Answer 1

Given :-

• In a class of 100 students the following is the qualifying result of the examinations in
• three subjects Economics (E), Commerce (C) and Statistics(s).
• 10 students qualified in all the three subjects.
• 20 qualified in E and C.
• 30 qualified in C and S.
• 25 in E and S.
• 12 only in E.
• 5 only in C .
• 8 only in S.

Solution :-

from image when we make venn diagram of given data , we get,

• Students qualified in all three subjects = E = 10 .
• Students qualified in Eco. and Comm. = B + E = 20.
• Students qualified in Comm. + Stat. = E + F = 30 .
• Students qualified in Eco. + stat. = D + E = 25.
• Students qualified only in Economics = A = 12.
• Students qualified only in Comm. = C = 5.
• Students qualified only in Stat. = G = 8.

Therefore,

• B = (B + E) - E = 20 - 10 = 10 .
• F = (E + F) - E = 30 - 10 = 20 .
• D = (D + E) - E = 25 - 10 = 15 .

Hence,

→ A + B + C + D + E + F + G = 12 + 10 + 5 + 15 + 10 + 20 + 8 = 80.

So,

→ Number of students qualified in all the three subjects = 80.

∴

→ Number of students not qualified in all the three subjects = 100 - 80 = 20. (Ans.)

Learn More :-

In the frequency distribution of families

given below, the number of families

corresponding to expenditure groups 2000-

...

https://brainly.in/question/22000754

for helping poor girls of their class, student save pocket money as shown in the following table find the median

Money S...

https://brainly.in/question/23808504