Final answer:
The statement that majority rule can fail to produce a single preferred outcome when there are more than two choices is true, due to the phenomenon of voting cycles.
Step-by-step explanation:
True or false: Majority rule can fail to produce a single preferred outcome when there are more than two choices. The answer to this statement is true. This situation can occur due to what is known as a voting cycle, where the presence of three or more options may lead to a scenario where the majority votes cyclically choose different options without a clear winner. For example, majority may prefer policy A over B, policy B over C, and yet policy C over A, leading to no definitive outcome.