A survey shows that 63% of the people watch a news channel whereas, 76% watch an entertainment channel at a particular time. lf x% of the people watch both types ofchannels, then

Let A be the set of those people who watch news channel andB be the set of those people who watch entertainment channel.Thenn(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≥39Also, n(A∩B)≤min⋅{n(A),n(B)}⇒    x≤63∴     39≤x≤63