A hiring committee of 5 people needs to be chosen. There are a total of 30 people to choose from such that 18 are women and 12 are men.   1. In how many ways can this committee be chosen?    2. In how many ways can this committee be chosen if there must be exactly 3 women?    3. What is the probability the committee will consist of only men? Include the probability statement and the value as a decimal rounded to 3 places.

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