A survey shows that 63% of the people watch a news channel whereas 76% watch another TV channel. If x% of the people watch both the channels, then

Let A be the set of those people who watch a news channel and B be the set of those people who watch another channel.n(A)=63,n(B)=76, and n(A∩B)=x∵ n(A∪B)≤100⇒ n(A)+n(B)−n(A∩B)≤100⇒ 63+76−x≤100⇒ x≥39 Also, n(A∩B)≤min.{n(A),n(B)}⇒ x≤63∴ 39≤x≤63