Given n(U) =10; n(A)=5; n(B)=3; n\left ( A\cap B \right )= 2 . A and B are subsets of U,then n(A U B)'=?

Answers (1)

Given n(U) =10; n(A)=5; n(B)=3;  n\left ( A\cap B \right )= 2

n(A \cup B)'=?

We know,

n(A \cup B)'=n(U)- n(A \cup B)

And, n(A \cup B) = n(A) =n(B)- n(A\cap B)

\therefore n(A \cup B) = 5+3-2= 6

\therefore n(A \cup B)'=10-6

= 4

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