What are the three most common organizing principles for stock market indices, and how do they determine the membership of the S&P $500?$

Company size, profitability, and geographic location, with profitability being the main determinant for S&P $500$ inclusion.

Revenue, industry, and number of employees, with revenue being the main determinant for S&P $500$ inclusion.

Company size, industry, and geographiclocation, with company size being the main determinant for S&P $500$ inclusion.