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in a village 4000 people watch a tv.in which 1500 watch A
channel.2000 watch B channel and 2500 watch C Channel.500
people watch A and B channel.800 watch A and C
Channel.1000 watch B and C Cahnnel.find maximum people who
watch maximum no of channels?

Answer Posted / puru vatsa

Total no. of People = 4000
500 people watch A and B channel and 800 people watch A and C
and 1500 watch A channel.
Hence people who watch only A = 1500-(500+800) = 200
Similarly people who watch only B = 2000-(500+1000) = 500
and people who watch only C = 2500-(800+1000) = 700
Hence total no. of people watching these channels =
200+500+700+500+800+1000 = 3700
Hence people watching A,B,C = 4000 - 3700 = 300 (Ans)

Tip :- Draw Venn-Diagram and then solve.

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