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 booth 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.

Required:

i) With the aid of a Venn diagram, determine the number of voters that were in favor of

all the three candidates. Assume that every member of Y.C.S voted for at least one

candidate.

ii) Determine the candidate that went unopposed if a rule of 50% majority were used in such a decision