A survey was conducted in a community of 350 people regarding three games – Chess ,Carrom and Chinese Checkers. The Following information is obtained in the survey.

A survey was conducted in a community of 350 people regarding three games – Chess ,Carrom and Chinese Checkers. The Following information is obtained in the survey.

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(i) Thrice the no. of people who play all the three games is equal to the no. of people who Chinese Checkers .

(ii) The no. of people who play Chinese Checkers and Carrom is equal to the no. of people who play Chess only

(iii) In every three people who play Chess and Chinese Checkers only, there are five people who play none of the three games.

(iv) In every seven people who play Chinese Checkers, four people play Carrom also.

(v) For every four people who play exactly two games,there is one person who plays Carrom and Chinese Checkers only and two persons who play none of the three games

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