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if A and B be two sets such that n(A)= 15 , n(B)= 25 then number of possible values of symmetric difference of A and B is

if A and B be two sets such that n(A)= 15 , n(B)= 25 then number of possible values of symmetric difference of A and B is

Grade:12th pass

3 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
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Arun
25750 Points
6 years ago
We can just have a range of possibilities, that's all. Since the number of elements in symmetric difference of A and B is ň(AnB)-ň(BnA) 
We get least value of it as 10 and max value as 40, you may get this by assuming least and max value of common elements 

And also the required answer will be only even number 

You may get this by putting some values of intersection and unions 

Required answer is {10,12,14,16,........40}, 
Akash kumar
13 Points
2 years ago
 and B be two sets such that n(A)= 15 , n(B)= 25 then number of possible values of symmetric difference of A and B is

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