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8. (6 points) A group contains 19 firefighters and 16 police officers. a) In how many ways can 12 individuals from this group be chosen

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8. (6 points) A group contains 19 firefighters and 16 police officers. a) In how many ways can 12 individuals from this group be chosen for a committee? b) In how many ways can a president, vice president, and secretary be chosen from this group such that all three are police officers? (6 points) A group contains k men and k women, where k is a positive integer. How many ways are there to arrange these people in a row if all the men sit on the left and all the women on the right? 10. (6 points) In the question above, what is the probability that a man will be seated in the first seat

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