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Ordinal Ballots

Ordinal Ballots. Preference Schedule Preference List. Ordinal Ballots. List your choices in order with the favorite on top and ‘least favorite’ on bottom Ballots must be Complete (you must rank all candidates) Linear (no ties)

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Ordinal Ballots

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  1. Ordinal Ballots Preference Schedule Preference List

  2. Ordinal Ballots • List your choices in order with the favorite on top and ‘least favorite’ on bottom Ballots must be • Complete (you must rank all candidates) • Linear (no ties) • Transitive (If you prefer A to B and B to C, then you must prefer A to C.)

  3. How many different ordinal ballots are possible? • Try this first for two candidates A and B. • Next try it for three candidates A, B and C. • What about for four candidates A,B,C and D? • Can you see a pattern to the numbers? What is it?

  4. Factorials • 1! = 1 • 2! = 1·2 = 2 • 3! = 1·2·3 = 6 • 4! = 1·2·3·4 = 24 • Etc. • Note: 0! is defined to be 1.

  5. TV Program Vote Again • Vote again for The Office, Family Guy and The Mentalist, this time making a preference list with your top choice on top. • How many possible lists will there be?

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