Posted by Mike on Sunday, June 10, 2012 at 2:17am.
(a) If there are 70 voters and 5 candidates, how many total points would there be in a Borda count?
(b) If there are 60 voters and 4 candidates, how many total points would there be in a Borda count?
(c) If there are 900 voters and 3 candidates, how many total points would there be in a Borda count?

ALGEBRA  MathMate, Sunday, June 10, 2012 at 6:28am
Each voter of the Borda count gives 1 point to the least favoured candidate, 2 for the next, until N points for the most favoured candidate out of N.
(a) With five candidates, each voter gives 1+2+3+4+5=15 points for a total of 15*70=1050 points.
(b) and (c) can be solved similarly.
For more examples and explanations, see:
http://www.ctl.ua.edu/math103/voting/borda.htm
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