A Standard profile that has Standard User Permissions and can manage published solutions and solution categories.
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A. B. C. D. E.E.
The profile that has Standard User Permissions and can manage published solutions and solution categories is the "Solution Manager" profile.
This profile is designed for users who need to create, manage, and publish solutions within Salesforce. They can view and edit published solutions, create new ones, and manage solution categories. Solution Managers can also view and edit their own solutions, as well as solutions that have been shared with them.
The other answer choices are not correct:
Therefore, the correct answer is E. Solution Manager.