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(c) A sample of 1GB voters revealed the following information concerning their prefere candidates X, Y and 2., who were vying for the party's chairman,

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(c) A sample of 1GB voters revealed the following information concerning their prefere candidates X, Y and 2., who were vying for the party's chairman, secretary,r and position respectively. * 15 voters were in favor of X and Y I' 11 voters were in favor of Y and E but not 31 I' 14 voters were in favor of E but not 155'. or Y i 3? voters were in favor of X or 2. but not Y * 34 voters were in favor of at least two candidates ' 54 voters were in favor of one candidate onl].r ' 52 voters were in favor of X or Y or abstained but not in favor of 2. Required: [i] The number of voters that were in favor of all the three candidates. [ii] Assuming that a candidate who gets more than 50% of the votes is elected trno determine the candidate{s] if an},T that were elected unopposed

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