Question

If A and B are subsets of the universal set x and n(x) = 50, n(A) = 35, n(B) = 20
n(A'B')=5 find n(AUB)​

Answer 1

Answer:

n(AUB) = 50

Step-by-step explanation:

given n(x) equals to 50

n(A) equals to 35

n of B equals to 20

n(A intersection B) = 5

so

n(AUB) = 50 = n(x)

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Answer 2

Answer:

n (A U B)=45

Step-by-step explanation:

Given that

n(X) = 50, n(A) = 35, n(B) = 20

n(A'∩B')=5

We know that

n(A'∩B')=n( A U B)'

Thus n( A U B)' =5

Thus n( A U B)= n(X)- n(A U B)'

=50-5

=45

So n (A U B)=45

The Ven diagram of set A ,B and X is as attached