Under the Indian Partnership Act, 1932, a partnership is defined as a relation between persons who have agreed to share the profits of a business carried on by all or any of them acting for all. The essential elements are: (1) an agreement, (2) between two or more persons, (3) to share profits of a business, and (4) carrying on of business. Option C correctly identifies that partnership requires an agreement between two or more persons. Options A, B, and D describe characteristics that agreements must have but are not the core definitional element of partnership itself.