$\begin{array}{l} ext { If } \mathrm{A} ext { and } \mathrm{B} ext { are subsets of universal set } \mathrm{X} ext { such that } \mathrm{n}(\mathrm{X})=200, \mathrm{n}(\mathrm{A})=90, \mathrm{n}(\mathrm{B})=80 ext { , }\ n\left(A^{\prime} \cap B^{\prime} ight)=40, ext { then }…

Question

$\begin{array}{l} 	ext { If } \mathrm{A} 	ext { and } \mathrm{B} 	ext { are subsets of universal set } \mathrm{X} 	ext { such that } \mathrm{n}(\mathrm{X})=200, \mathrm{n}(\mathrm{A})=90, \mathrm{n}(\mathrm{B})=80 	ext { , }\ n\left(A^{\prime} \cap B^{\prime}ight)=40, 	ext { then } n\left(A \cap B^{\prime}ight)= \end{array}$

Aicharya · Accepted Answer

$\begin{aligned} n\left(A \cap B^{\prime}ight) &=n(A)-n(A \cap B) \ n(x) &=200 \ & \sim(A \cap B)=n(A)+n(B)+2\left(A^{\prime} \cap B^{\prime}ight) \ &-n(X) \ n\left(A \cap B^{\prime}ight) &=90-10 \ &=80 \end{aligned}$

$\begin{array}{l} \text { If } \mathrm{A} \text { and } \mathrm{B} \text { are subsets of universal set }…

Solution