Party on. You want to throw a party and can invite only 15 people. You want to invite 3 people from the soccer team (there are 10 people on the tiny team); 4 people from the orchestra (there are 20 people in the orchestra); and 8 people from your math class (there are 30 other students in your class). Assuming no overlap of the groups, how many different invitation lists could you devise?
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