Explore the regulations concerning the appointment of directors in a private limited company under Indian law. According to the Companies Act, 2013, a private limited company must have a minimum of two directors, while the maximum number is capped at fifteen, though this limit can be increased by passing a special resolution. The eligibility criteria for becoming a director include being an individual (not a company), with at least one director being a resident of India for a minimum of 182 days in the financial year.