2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157696We prove a previously conjectured closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials. In the final step of the proof appears an identity on weighted sums of partitions that we demonstrate using the methods of Gessel-Viennot.20 pages, 7 figuresCombinatorics05A19; 05E05text