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Operations on Sets

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By Expert Faculty of Sri Chaitanya
Question

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

Moderate
Solution

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

n(A)=63,n(B)=76, and n(AB)=xn(AB)100n(A)+n(B)n(AB)10063+76x100x39 Also, n(AB)min.{n(A),n(B)}x6339x63


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