Question

N(a) =n(b) =70, n(aub) =89 find

Answer 1

Answer:

N(a) =n(b) =70, n(aub) =89 n(B) = 52

Step-by-step explanation:

From the above question, they have given :

N(a) =n(b) =70,

n(aub) =89

n(AuB) = n(A) + n (B) -n(AnB)

We have n(AnB) = 25 and n(A-B) = 18

With these 2 we can calculate n(A)

Two other questions with the same information are n(A'∩B') and   n(A∩B)

n(A-B) = n(A) - n(AnB)

18 = n(A) - 25

=> n(A) = 18 + 25 = 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

For more related question : https://brainly.in/question/10010961

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