ENUM and SET are special column types in MySQL that let you store only specific allowed values. ENUM stores one value from a list, like sizes small, medium, or large. SET stores zero or more values from a list, like colors red, green, and blue. When you insert data, MySQL checks if the values match the allowed list. If they do, it stores them; if not, it gives an error. For example, inserting 'medium' into an ENUM size column works because 'medium' is allowed. Inserting 'red,blue' into a SET colors column works because both 'red' and 'blue' are allowed. Trying to insert a value not in the list, like 'extra-large' in size, causes an error and stops the insertion. This helps keep data clean and consistent.