In current era, the software engineering community is moving towards the design and development of component-based software, to achieve less complex software and to improve the reusability of code. Complexity of a system plays major role in estimating the efforts to test the software. This paper presents a methodology to obtain the complexity of the component-based software, through the effective path coverage criteria. The complexity of software is a function of complexity of the components

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... egrated for that software. A case study is also presented, in which we have applied the proposed methodology to a software system.