Join-distributive lattices are finite, meet-semidistributive, and semimodular lattices. They are the same as Dilworth's lattices in 1940, and many alternative definitions and equivalent concepts have been discovered or rediscovered since then. Let L be a join-distributive lattice of length n, and let k denote the width of the set of join-irreducible elements of L. A result of P. H. Edelman and R. E. Jamison, translated from Combinatorics to Lattice Theory, says that L can be described by k − 1 permutations acting on the set {1, . . . , n}. We prove a similar result within Lattice Theory: there exist k − 1 permutations acting on {1, . . . , n} such that the elements of L are coordinatized by k-tuples over {0, . . . , n}, and the permutations determine which k-tuples are allowed. Since the concept of join-distributive lattices is equivalent to that of antimatroids and convex geometries, our result offers a coordinatization for these combinatorial structures.2010 Mathematics Subject Classification: Primary 06C10; secondary 05E99 and 52C99.