Question

In a class of 50 students27 study History, 27 study Civics, 25 study Economics, 15 study both History and Civics, 16Study both Civics and Economics, 14 Study both History and Economics, 9 Study all the threesubjects.
i) how many study one of the three subjects?
ii) how many students study one of the three subjects​

Answer 1

Answer:

History =27 (H)

Civics =27 (C)

Economics =25 (E)

History & Civics =15[H∩C]

Civics & Economics =16[C∩E]

History & Economics =14[H∩E]

9

study all

1) Only Economics =E−(H∩E)−(C∩E)+(H∩C∩E)

=25−16−4+9=4 (Answer)

2) Only Economics =4

So, Only History =27−15−14+9=7

& Only Civics =27−16−15+9=5

Total students who studies =4+7+5+H∩C+C∩E+H∩E−9−9−9

=−11+15+16+14

=4+16+14

=34

3) Studies Economics but not Civics =4+14−9=9 (Answer)

Step-by-step explanation: