Question  Among  50 students in aclass ,26 got an A in the first examination and 21 got an A in the second examination .If 17 students did not  an A in either examination , how students got Ain both the exa

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Among  50 students in aclass ,26 got an A in the first examination and 21 got an A in the second examination .If 17 students did not  an A in either examination , how students got Ain both the examinationsn?

the exar
Ans. Total students in class = 50
%3D
Let El denote set of students who got A grade in first examination, E1= 26
Let E2 denote set of students who got A grade in second examination E2 = 21
There are 17 students did not get A in either of the examinations
El U E2= 50 – 17= 33
Hence
%3D
33 = |E1|+|E2| –E1 E2|
Hence
|Eln E2 = 26 + 21 - 33
%3D
= 47-33
%3D
=D14.
%3D
Therefore, 14 students got Ain both the examinations.
Transcribed Image Text:the exar Ans. Total students in class = 50 %3D Let El denote set of students who got A grade in first examination, E1= 26 Let E2 denote set of students who got A grade in second examination E2 = 21 There are 17 students did not get A in either of the examinations El U E2= 50 – 17= 33 Hence %3D 33 = |E1|+|E2| –E1 E2| Hence |Eln E2 = 26 + 21 - 33 %3D = 47-33 %3D =D14. %3D Therefore, 14 students got Ain both the examinations.
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