This is an announcement for the paper "Combinatorial inequalities and subspaces of L1" by Joscha Prochno and Carsten Schuett. Abstract: Let M and N be Orlicz functions. We establish some combinatorial inequalities and show that the product spaces l^n_M(l^n_N) are uniformly isomorphic to subspaces of L_1 if M and N are "separated" by a function t^r, 1<r<2. Archive classification: math.FA math.CO Mathematics Subject Classification: 46B03, 05A20, 46B45, 46B09 Submitted from: prochno@math.uni-kiel.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1204.6025 or http://arXiv.org/abs/1204.6025