The correct response is C: "the Constitution was amended, changing the way that the Vice President was elected."
The presidential election of 1800 led to significant political changes in the United States, including the eventual passage of the 12th Amendment to the Constitution in 1804. This amendment changed the electoral process for the President and Vice President, requiring electors to cast separate ballots for each office to prevent the confusion that had arisen in earlier elections, particularly that of 1800 when Thomas Jefferson and Aaron Burr tied in electoral votes.