If n(A-B)= 18, n(A ∪B)= 70 and n(A ∩ B) = 25 then find n(B).
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1
Answer:
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Answered by
3
Step-by-step explanation:
We have n(AnB) = 25 and n(A-B) = 18
With these 2 we can calculate n(A)
n(A-B) = n(A) - n(AnB)
18 = n(A) - 25
=> n(A) = 18 + 25 = 43
:• n(A) = 43
now to calculate n(B) we can substitute all the values in equation 1
70 = 43+ n(B) - 25
70 = n(B) + 18
n(B) = 70–18 = 52
:• n(B) = 52
I hope this may help u out
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