10. If n(A-B) = 10, n(B-A)= 23 n(AUB) = 50, then n (ANB) is
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The n(A∩B) intersection when n(A-B) = 10, n(B-A)= 23 n(AUB) = 50 is 17 when we know the formula n(A-B) + n(B-A)= n(AUB) - n(A∪B).
Given that,
We have to find the n(A∩B) when n(A-B) = 10, n(B-A)= 23 n(AUB) = 50.
We know that,
The formula is
n(A-B) + n(B-A)= n(AUB) - n(A∪B) (Union and intersection is subtracted the we get the resultant of A-B and B_A)
10+23=50-n(A∪B)
33 = 50-n(A∪B)
-n(A∪B) = 33-50
-n(A∪B) = -17
n(A∪B) = 17
Therefore, The n(A∩B) intersection when n(A-B) = 10, n(B-A)= 23 n(AUB) = 50 is 17 when we know the formula n(A-B) + n(B-A)= n(AUB) - n(A∪B).
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