  Bell inequalities or Bell-like experiments are supposed to test hidden
variable theories based on three intuitive assumptions: determinism, locality
and measurement independence. If one of the assumptions of Bell inequality is
properly relaxed, the probability distribution of the singlet state, for
example, can be reproduced by a hidden variable model. Models that deal with
the relaxation of some condition above, with more than one hidden variable,
have been studied in the literature nowadays. In this work the relation between
the number of hidden variables and the degree of relaxation necessary to
reproduce the singlet correlations is investigated. For the examples studied,
it is shown that the increase of the number of hidden variables does not allow
for more efficiency in the reproduction of quantum correlations.
