Abstract
A theorem concerning statistics does not allow coexistence of a large number of quasiparticles at fillings with an even denominator. It is suggested that the origin of the odd denominator rule observed in the fractional quantized Hall effect (FQHW) may lie in fractional statistics which govern quasiparticles in FQHE. It is shown that no Hall plateau can be formed at these fillings, regardless of the presence of an energy gap.