nature offers three replicates the same structure? This is a question of great depth and it questions the ultimate structure of the Standard Model of electroweak interactions. However, there is an observation that can not leave us indifferent. In the Standard Model is only possible to have violation of T (time reversal) if three or more families.
The T symmetry violation is an event truly exceptional. Implies that there are physical processes that can discriminate between it moves in one direction or the opposite. This violation of T, due to the presence of three families of elementary particles, is the only situation in which the laws governing the universe at the microscopic level selected arrow of time.
arrow Do not confuse this time with the second law of thermodynamics, which states what is the most likely development of a system of many particles. The thermodynamic irreversibility does not require a microscopic T violation.
The universe, therefore, opted to contain three and only three families of elementary particles and thus offer the option to distinguish between it moves in one direction or its opposite.