The production team has 10 material-preparation workers, 5 machine operators, and 2 supervisors. The plant manager is randomly selecting a person in the production team for an update in the production...

The production team has 10 material-preparation workers, 5 machine operators, and 2 supervisors. The plant manager is randomly selecting a person in the production team for an update in the production status with replacement. The manager does this 6 times a week. What is the probability of selecting 2 material-preparation workers, 2 machine operators, and 2 supervisors every week?