  Let $(X_1,\ldots,X_n)$ be an exchangeable random vector with distribution
function $F$, and denote by $Y_1\leq \cdots\leq Y_n$ the corresponding order
statistics. We show that the conditional distribution of $(X_1,\ldots,X_n)$
given $(Y_1,\ldots,Y_n)$ does not depend on $F$.
