The Chamber of Commerce is electing 5 new board officers. There are 32 individuals running: 10 democrats, 8 republicans, and 14 independents 1. How many possible outcomes does this election have? 2. In how many ways can a board containing exactly 1 republicans be elected? 3. What is the probability of selecting a board with exactly 2 democrats, 2 republicans, and 1 independents? 4. What is the probability at least 1 independent will be selected? 5. If you know that exactly 2 democrats have been selected, what is the probability the board will consist of 2 democrats, 2 republicans, and 1 independents?

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