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The group technique that aims to prioritize or rank numerous solutions effectively is multivoting. This method enables a group to narrow down a large number of ideas or options to the most important ones by allowing participants to vote on their preferred solutions. Each individual typically has a limited number of votes that they can distribute across the options, thereby fostering a structured decision-making process that emphasizes collective preferences.

In contrast, brainstorming focuses on generating a wide variety of ideas without immediate criticism or evaluation, which may not lead directly to prioritization. The fishbone diagram, also known as the cause-and-effect diagram, is primarily used for identifying and organizing potential causes of a problem rather than ranking solutions. The nominal group technique involves structured ranking, but it operates through a more formal process of discussion and anonymous voting, making it less straightforward in the context of simply prioritizing multiple solutions as effectively as multivoting does. Thus, multivoting stands out as the most effective technique for this specific purpose.