  Here, I study how to obtain an opinion dynamics model for the case where
there are $M$ possible discrete choices and there is need to model how strong
each agent choice is. The new model is obtained as an extension of the
Continuous Opinions and Discrete Actions (CODA) model. Technical difficulties
with the choice of proper variables for a simple model are solved. For the
symmetrical case, a dimensionless model is found. However, when analyzing the
results, a change of variables seems to be required for ease of interpretation.
Extremism is observed here as well, generated by the local reinforcement of
opinions inside domains of agents with the same choice.
