Counting Number of Ways for a BallotVote Counting ProblemNumber of possible results in election with one of...
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Counting Number of Ways for a Ballot
Vote Counting ProblemNumber of possible results in election with one of candidates getting more then 50% votesCounting Ballots?Combinatorial problem that a friend asked with some interesting stipulationsCalculate winning outcomes of plurality votingCombinatorics president and votesBallot problem with initial votes countedProbability of tie voteSelect Candidates based on votes count permutationsElection Outcomes - Combinatorics ProblemVote Counting Problem
$begingroup$
50 people have voted in an election, in which they are two candidates, and 25 people
have voted for one candidate, and 25 people have voted for the other. You don’t know
this yet, and are counting the votes, by looking at the ballots in sequence.
What is the number of sequences for which, as you count the votes, neither candidate is ever ahead of the other by more than 15 votes, but the end result is a tie?
I am new to generating functions and trees so would anyone please give me a hint on how to start on this problem?
sequences-and-series combinatorics permutations generating-functions
asked Mar 19 at 5:37
james blackjames black
424114
$endgroup$
add a comment |
$begingroup$
50 people have voted in an election, in which they are two candidates, and 25 people
have voted for one candidate, and 25 people have voted for the other. You don’t know
this yet, and are counting the votes, by looking at the ballots in sequence.
What is the number of sequences for which, as you count the votes, neither candidate is ever ahead of the other by more than 15 votes, but the end result is a tie?
I am new to generating functions and trees so would anyone please give me a hint on how to start on this problem?
sequences-and-series combinatorics permutations generating-functions
asked Mar 19 at 5:37
james blackjames black
424114
$endgroup$
$begingroup$
See math.stackexchange.com/questions/3149849/vote-counting-problem
$endgroup$
– Mike Earnest
Mar 19 at 15:07
add a comment |
$begingroup$
50 people have voted in an election, in which they are two candidates, and 25 people
have voted for one candidate, and 25 people have voted for the other. You don’t know
this yet, and are counting the votes, by looking at the ballots in sequence.
What is the number of sequences for which, as you count the votes, neither candidate is ever ahead of the other by more than 15 votes, but the end result is a tie?
I am new to generating functions and trees so would anyone please give me a hint on how to start on this problem?
sequences-and-series combinatorics permutations generating-functions
asked Mar 19 at 5:37
james blackjames black
424114
$endgroup$
50 people have voted in an election, in which they are two candidates, and 25 people
have voted for one candidate, and 25 people have voted for the other. You don’t know
this yet, and are counting the votes, by looking at the ballots in sequence.
What is the number of sequences for which, as you count the votes, neither candidate is ever ahead of the other by more than 15 votes, but the end result is a tie?
I am new to generating functions and trees so would anyone please give me a hint on how to start on this problem?
sequences-and-series combinatorics permutations generating-functions
sequences-and-series combinatorics permutations generating-functions
asked Mar 19 at 5:37
james blackjames black
424114
asked Mar 19 at 5:37
james blackjames black
424114
asked Mar 19 at 5:37
james blackjames black
424114
asked Mar 19 at 5:37
james blackjames black
424114
asked Mar 19 at 5:37
james blackjames black
424114
424114
$begingroup$
See math.stackexchange.com/questions/3149849/vote-counting-problem
$endgroup$
– Mike Earnest
Mar 19 at 15:07
add a comment |
$begingroup$
See math.stackexchange.com/questions/3149849/vote-counting-problem
$endgroup$
– Mike Earnest
Mar 19 at 15:07
$begingroup$
See math.stackexchange.com/questions/3149849/vote-counting-problem
$endgroup$
– Mike Earnest
Mar 19 at 15:07
$begingroup$
See math.stackexchange.com/questions/3149849/vote-counting-problem
$endgroup$
– Mike Earnest
Mar 19 at 15:07
add a comment |
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$begingroup$
See math.stackexchange.com/questions/3149849/vote-counting-problem
$endgroup$
– Mike Earnest
Mar 19 at 15:07