# 1.A survey of 500 television viewers produced the given information;285 watch football;195 watch hockey;115 watch cricket;70 watch football and hockey;45 watch football and cricket ;50 do not watch any of three games.How many watch exactly one of the three games ?

A survey of 500 television viewers produced the given information;285 watch football;195 watch hockey;115 watch cricket;70 watch football and hockey;45 watch football and cricket ;50 watch cricket and hockey;50 do not watch any of three games.How many watch exactly one of the three games.

Let A, B and C represents the number of viewers, who watched football , hockey and cricket respectively.

therefore

[since 50 do not watch any of the three games ]

those who watch all the three games

the number of viewers who watched only football

the number of viewers who watched only hockey

the number of viewers who watched only cricket

therefore the number of viewers who watched exactly one game

=190+95+40

=325

hope this helps you.

cheers!!

• 91
What are you looking for?