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Correlated information sequences and are generated by repeated independent drawings of a pair of discrete random variables from a given bivariate distribution . We determine the minimum number of bits per character and needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders. The results, some of which are not at all obvious, are presented as an admissible rate region in the plane. They generalize a similar and well-known result for a single information sequence, namely for faithful reproduction.