Great question. I would say that entrepreneurship falls under the umbrella of business. Firms experience many stages, starting-up, growth, long-term management, mergers, etc. Entrepreneurship would be a particular set of skills focused around starting a new business, by understanding market needs, developing a product or service, building a team, etc.
Both majors will probably cover similar skills, with a slightly different focus and case studies. Based on the above description does either sound more appealing to you? Would you prefer to start a new business, or manage at an existing one?