Set theory

A group of "40" students appeared in an examination of "3" subjects - Mathematics,Physics and Chemistry.It was found that all students passed in atleast one of the subjects,"20" students passed in Mathematics,"25" students passed in Physics,"16" students passed in Chemistry,atmost "11" students passed in both Mathematics and Physics,atmost "15" students passed in both Physics and Chemistry, atmost "15" students passed in both Mathematics and Chemistry.The maximum number of students passed in all the three subjects is_?? Hey! Can anyone please explain me the logic behind solving the question, coz there are a couple of videos on youtube on this, but I couldn't understand from any them so to speak😞
9 Replies
iTeachChem Helper
iTeachChem Helper•3w ago
@Apu
iTeachChem Helper
iTeachChem Helper•3w ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
Real potato
Real potato•2w ago
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Real potato
Real potato•2w ago
But the ans cannot be 20 since M intersection P is 11 (MUPUC) cannot be 20 It is limited by M intersection P So its maximum value can be 11 only Not more than that @@Baruah_A
@Baruah_A
@Baruah_AOP•2w ago
I understand till this part..the question comes, what next now?? And btw, the answer is 10
Real potato
Real potato•2w ago
Are u sure the ans is not 11?
@Baruah_A
@Baruah_AOP•2w ago
Yess... Actually the quesn was from JEE Mains 2024 paper, and from most of the solutions on google, i can tell you that the answer is 10 @Real potato
Real potato
Real potato•2w ago
Can u share any solution in which the ans is given as 10? I searched up on google im getting 11 only
@Baruah_A
@Baruah_AOP•2w ago
I somehow finally got the answer. Is it correct??
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