Final answer:
Both Federalist No. 10 and Federalist No. 51 assume the presence of factions and emphasize the need for mechanisms to protect the majority's rights and prevent the dominance of any one group.
Step-by-step explanation:
Both Federalist No. 10 and Federalist No. 51 rest on the assumption that factions are a natural part of human society that must be controlled in order to protect the rights and interests of the majority.
In Federalist No. 10, James Madison argues that a large republic with multiple factions will prevent any one faction from dominating and threatening the rights of others.
In Federalist No. 51, Madison emphasizes the need for a system of checks and balances within the government to prevent any one branch from becoming too powerful.