Which statement best explains the role of government according to thomas hobbes

If one of your options is "The absolute authority of government is essential to ensure safety" then that would be the correct answer because in his Leviathan, he argues that an absolute monarchy is the best way to ensure peace and that safety of the people will be the greatest if all the power resides with only one person. That's because then there won't be anyone to bother him cause strife and things like civil wars or similar things.

The answer should be europe