  In this note we give a negative answer to a question proposed by
Almendra-Hern\'andez and Mart\'inez-Sandoval. Let $n\le m$ be positive integers
and let $X$ and $Y$ be sets of sizes $n$ and $m$ in $\mathbb R^{n-1}$ such that
$X\cup Y$ is in generic position. There is a natural order on $X\times Y$
induced by the distances between the corresponding points. The question is if
all possible orders on $X\times Y$ can be obtained in this way. We show that
the answer is negative when $n<m$. The case $n=m$ remains open.
