Contrasting single to double-particle transition probabilities induced by a one-particle perturbation yields information on the strength of (two-particle) correlation in a system. Here, we calculate single and double ionization probabilities for a C₆0 molecule upon the absorption of a single photon. We employ the Hartree-Fock and the frozen-core approximations for single-particle states and the random-phase approximation for the screened Coulomb interaction. Energy and angular dependencies of total and differential cross-sections are analyzed and the signature of the geometry of the fullerene and its charge-density response are pointed out.