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The proposed methodology concurrently considers all the x-abilities\/design aspects along with interactions without missing any information and hence leads to a high quality product. A methodology which amalgamates concurrent design concepts, graph theory, matrix algebra, and permanent multinomial is proposed. Eight x-abilities namely, miniaturization, intelligence, integration, environment, quality, reliability, manufacturing, and assembly for concurrent design of a mechatronic system and the design parameters under each x-ability are identified. A colored graph useful for visual analysis is proposed. The design index derived is useful for researcher and designer in evaluating the conceptual design alternatives. 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