Single Choice

Let, $$n(u)=700,n(A)=200,n(B)=300$$ $$n\left( A\cap B \right) =100,n\left( A^{\prime} \cap B^{\prime} \right) =$$

A$$400$$
B$$600$$
C$$300$$
Correct Answer
D$$None$$

Solution

Ans. $$(c). n(A\cap B)=n(A\cup B)$$
$$=n(u)-n(A\cup B)$$
$$=n(u)-\left\{ n\left( A \right) +n\left( B \right) -n\left( A\cap B \right) \right\}$$
$$=700-\left\{ 200+300-100 \right\} = 300$$

SIMILAR QUESTIONS

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