Consider voting for the college football’s Heisman Trophy aw…
Consider voting for the college football’s Heisman Trophy award. The trophy is awarded by means of a Borda-count voting system. Each voter submits first-, second-, and third-place votes, worth 3 points, 2 points, and 1 point, respectively. Assume there are 500 Heisman voters. Under this voting system, what is the minimum integer number of first-place votes that it would have taken to guarantee victory (without any help from second or third-place votes)?