Election Issue

How many elections outcomes are possible if there are 3 candidates and 30 voters?

(a) How many elections outcomes are possible if there are 3 candidates and 30 voters? (b) How many outcomes are possible if, in addition, some candidate receives a majority of the votes?

Public Comments

1. 90
2. define an election outcome as a triple that forms a composition of the thirty votes, for example: 2-7-21 is two votes for the first candidate, seven votes for the second candidate and 21 for the last candidate. (a) there are 496 compositions of 30 votes into three sets (b) there are three choices for picking the candidate who will get 16 votes. there are 120 ways to form compositions of the remaining 14 votes, for a total of 360 outcomes.