Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics

Question

Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economic, 14 Mathematics and Economics and 2 study all the three subjects. Then the number of students who study English and Mathematics but not Economics is

Smart Achievers · Accepted Answer

(2)

$n (A \cup B \cup C) = 16 + 22 + 6 - 5 - 14 - K + 2 \Rightarrow 40 = 47 - K \Rightarrow K = 7$

$\Rightarrow Number of students who study English and Mathematics but not economics = 5$

Solution

1 7

2 5

3 10

4 4

Ans.
(2)

$n (A \cup B \cup C) = 16 + 22 + 6 - 5 - 14 - K + 2 \Rightarrow 40 = 47 - K \Rightarrow K = 7$

$\Rightarrow Number of students who study English and Mathematics but not economics = 5$

Want Us to Email you About Special Offers & Updates?

Solution

1 7

2 5

3 10

4 4

Ans. (2) n(A∪B∪C)=16+22+6-5-14-K+2⇒40=47-K⇒K=7 ⇒ Number of students who study English and Mathematics but not economics=5

Want Us to Email you About Special Offers & Updates?

Ans.
(2)

$n (A \cup B \cup C) = 16 + 22 + 6 - 5 - 14 - K + 2 \Rightarrow 40 = 47 - K \Rightarrow K = 7$

$\Rightarrow Number of students who study English and Mathematics but not economics = 5$