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The AI Development Group has just recruited 8 math majors, 5 computer science majors, 3 physics majors, and 4 psychology majors. The company president would

The AI Development Group has just recruited 8 math majors, 5 computer science majors, 3 physics majors, and 4 psychology majors. The company president would like to select three of them to join the Planning Department, but would like no two members to have the same major. How many choices does the president have?

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