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[12 points] A company headquarter has hired sixteen new engineers. a. If five go to Boston, three go to Philadelphia, four go to Baltimore, and four go to Los Angeles. How many ways can the dispatcher achieve this? b. The Boston site is considered most desirable and ALL 5 members of two particular ethnic groups were sent to Boston. A labor dispute has arisen over this placement. You, as a member of mediation panel considering whether the assignment represented injustice to other ethnic groups, decided to make your judgement through probability calculation. What is your recommendation and how would you justify it?