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(C) Let the three sets of students playing the three games be $A$,$B$,and $C$.According to the problem,some students play two games,which means the in

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None of these

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(C) Let the three sets of students playing the three games be $A$,$B$,and $C$.According to the problem,some students play two games,which means the intersection of any two sets is non-empty (i.e.,$A \cap B 
eq \emptyset$,$B \cap C 
eq \emptyset$,$A \cap C 
eq \emptyset$).However,no student plays all three games,which means the intersection of all three sets must be empty (i.e.,$A \cap B \cap C = \emptyset$).In diagram $P$,there are only two sets,so it does not represent three games.In diagram $Q$,the three circles are arranged such that there is a central region where all three overlap,meaning $A \cap B \cap C 
eq \emptyset$.In diagram $R$,the three circles are arranged such that there is no common region shared by all three circles,meaning $A \cap B \cap C = \emptyset$,while pairs of circles still overlap.Therefore,only diagram $R$ justifies the statement. Since $R$ is not present in any of the options $A$,$B$,or $D$,the correct option is $C$.

In a school,there are three types of games to be played. Some students play two types of games,but none play all three games. Which Venn diagram$(s)$ can justify the above statement?

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