A survey shows that  63% of the people watch a News Channel whereas 76% watch another channel. If x% of the people watch both channel, then least value of x is

Let A be the set of percentage of those people who watch a news channel and B be the set of percentage of those peoplewho 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