  Distributions of the charged particles multiplicities in the electromagnetic
showers initiated by 10 to 1000 GeV electrons in lead are calculated using
GEANT4. It is shown that they are well fitted by the inverse sum of two
exponents. The evolution of the multiplicity distribution shapes as a function
of the lead depth is discussed. An estimate of the energy resolution of a
simple e,{\gamma} detector consisting of a high Z convertor and a counter of
the shower electrons and positrons is presented.
