A sample of 100 Young Christian Union voters revealed the following concerning three candidates; Ali, Bungei and Chiru, who were running for the Y.C.S Party Chairman, Secretary and Treasurer respectively. 14 preferred both Ali and Bungei 49 preferred Ali or Bungei but not Chiru 21 preferred Bungei but not Chiru or Ali 61 preferred Bungei or Chiru but not Ali 32 preferred Chiru but not Ali or Bungei 7 preferred Ali and Chiru but not Bungei.

Question

A sample of 100 Young Christian Union voters revealed the following concerning three candidates; Ali, Bungei and Chiru, who were running for the Y.C.S Party Chairman, Secretary and Treasurer respectively. 14 preferred both Ali and Bungei 49 preferred Ali or Bungei but not Chiru 21 preferred Bungei but not Chiru or Ali 61 preferred Bungei or Chiru but not Ali 32 preferred Chiru but not Ali or Bungei 7 preferred Ali and Chiru but not Bungei. 
i)	Present the information in a Venn diagram.                                                    
ii)	Determine the number of voters that were in favor of all the three candidates. 
iii)	Assume that every member of Y.C.S voted for at least one candidate. Determine the candidate that went unopposed if a rule of 50% majority were used in such a decision.

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