Number of voters 17 11 42 20 14 1st choice В D C A В D 2nd choice D A D C C 3rd choice C D D В 4th choice A A В A A How many votes were cast? How many votes are needed for a majority? Which candidate is the winner using Plurality-with-elimination? Which fairness criteria, if any, were violated by using Plurality-with-elimination? Majority Criterion Head-to-Head Criterion Irrelevant Alternatives Criterion Monotonicity Criterion No fairness criterion was violated
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
How many votes were cast?
PLEASE HELP
How many votes are needed for a majority?
Which candidate is the winner using Plurality-with-elimination?
Which fairness criteria, if any, were violated by using Plurality-with-elimination?
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