Select the correct statement(s):

By definition, base quantities are fundamental and mutually independent. Therefore, a base quantity cannot be expressed in terms of other base quantities, which means its dimension in any other base quantity is always zero.

Every physical quantity can be expressed dimensionally as a product of powers of the base quantities. Even dimensionless quantities can be represented with zero powers of base quantities.

A derived quantity can have zero dimension in one or more base quantities. For example, velocity has the dimensional formula $[M^{0} L^{1} T^{-1}]$, where its dimension in mass is zero. Thus, the fourth statement is incorrect.