Proof of a Conjecture of Chan, Robbins, and Yuen

Using the celebrated Morris Constant Term Identity, we deduce a recent conjecture of Chan, Robbins, and Yuen (math.CO/9810154), that asserts that the volume of a certain $n(n-1)\mathrm{/}2$-dimensional polytope is given by the product of the first n-1 Catalan numbers.