Which of the following political activities are members of the armed forces allowed to participate in?

Members of the armed forces are permitted to display political bumper stickers on their personal vehicles, as this action aligns with their rights to express their personal political views in a private capacity. The military recognizes the importance of the First Amendment, which protects rights related to free speech and expression. However, this freedom is balanced with the necessity to maintain the discipline and neutrality expected within the military environment.

Displaying political bumper stickers does not interfere with the performance of their duties or bring discredit to the service. It's important to note that while members can express personal political opinions, they must do so in a manner that does not compromise their role in the military or the perception of military neutrality.

Other forms of political participation, such as conducting surveys, attending fundraisers in uniform, or running for office under military auspices, often involve complexities that can affect unit cohesion and the nonpartisan nature of military service, which is why they are not permitted.