Ordinal Ballots Preference Schedule Preference List.

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Presentation transcript:

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)  Transitive (If you prefer A to B and B to C, then you must prefer A to C.)

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?

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.

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?