The word "sector" refers to a specific part or area of a larger whole. It could be a section or division of an organization, industry, or economy. Full definition
Some departments have been cutting staff numbers on contract management at the same time as the role of the private sector in public services was growing. (politics.co.uk)
Some schools or programs are focusing on preparing students for jobs in sectors of the market that have been identified as promising. (edweek.org)
But like many businesses, the private sector of higher education can flourish without government subsidies and may perform even better without government intervention. (educationnext.org)