[en] Multiple L-shell vacancy production in the target can be very copious when the impact parameter, B, is near or within the L-shell radius. Small B values can be selected either by detecting K-shell vacancies (x-ray or Auger satellites (K¹) or hypersatellites (K²)) or by detecting the projectile at a relatively large scattering angle. There are plentiful data for L-vacancy distributions of satellites, but very few for K⁰ or K². Until our recent work, the satellite data had been interpreted mainly in terms of a binomial distribution (or product of them) at each B, a model in which the emissions of electrons are statistically independent. For the related problem of electron transfer in coincidence with a K vacancy we have found that, even in the independent Fermi particle model (IFPM), correlation effects from interference of amplitudes grow with the projectile charge, Z_p, and become quite significant for Z_p greater than or equal to 3. Consequently, we formulated the IFPM theory of multiple vacancy production to investigate the degree of breakdown of statistical independence