Littlewood-Richardson coefficients in geometry count the number of points of a Grassmannian lying on certain Schubert varieties (and many other objects: components of Springer components, multiplicities of irreducible representations in GL_n tensor products…). Littlewood-Richardson coefficients in combinatorics count the number of Young tableaux obeying various conditions (and many other objects: hives, cartons, puzzles…). I’ll describe work of Eremenko and Gabrielov, of Mukhin, Tarasov and Varchenko, of Purbhoo, and of myself connecting the Schubert variety story to the combinatorics story. No previous knowledge of Schubert calculus or tableaux combinatorics is assumed.