if n(a)=10,n(a∪b),n(a∩b)
find n(b)
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Correct Question : If n(A) = 10, n(A∪B) = 28 and n(A∩B) = 6 then, find the value of n(B)
Solution :
Given that :
n(A) = 10,
n(A∪B) = 28,
and n(A∩B) = 6
To find :
n(B) = ?
As we know that :
The magic formula : n(A∪B) = n(A) + n(B) - n(A∩B)
On putting the values in the formula :
=> 28 = 10 + n(B) - 6
=> 28 = 4 + n(B)
=> n(B) = 28 - 4
=> n(B) = 24
So, the value of n(B) will be 24
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Hope it helps !!
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Step-by-step explanation:
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