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

Answer 1

Answer:

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