We show that if p ≠ 5 is a prime, then the numbers $1/p\left(\genfrac{}{}{0pt}{}{p}{m₁,...,m_t}\right)|t\ge 1,m_i\ge 0fori=1,...,tand{\sum }_{i=1}^t{m}_i=p$ cover all the nonzero residue classes modulo p.