In an election there are three candidates and 800 voters. The voters may exercise one, two or

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In an election there are three candidates and 800 voters. The voters may exercise one, two or three votes each. The following results were obtained:

Votes cast Candidate Voters Candidates 240 A 400 B 500 C 110 90 200 B and C A and C A and B 50 A and B and C

Show that these results are inconsistent if all the voters use at least one vote.

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