An expression is derived for the sound field in a room resulting from multiple sources that includes the effect of statistical dependence (correlation) between them. The room response is analyzed in terms of the normal modes. Resulting expressions are analogous to these that describe the excitation and response of a structure (e.g., beam or plate) acted on by a set of input forces. The formulation is extended to three dimensions to include the most general case in the room acoustics problem. Applications to the achievement of a diffuse sound field and to noise control by cancellation are discussed. Noise-source arrays of concern could include, for example, equipment in a machine shop or computer equipment room. Comparisons with source arrays in the free field and with sound fields due to a single source in the room are shown.