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A company needs to select an expert group of consultants to provide advice for a given project. How many possible selections consisting of 2 project managers, 2 legal advisors, 4 computer scientists and 3 systems engineers can be selected if the company can pick from 4 project managers, 7 legal advisors, 5 computer scientists and 6 systems engineers? Think carefully about the counting rules involved before attempting to do any calculations.

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