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(4) (14 points) The aliens come to Earth and lock a class of 30 men and 30 women in a classroom. They wish to choose

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(4) (14 points) The aliens come to Earth and lock a class of 30 men and 30 women in a classroom. They wish to choose 8 people, including at least one man and one woman, to take back to their home planet. How many ways can they do this? Your answer should be expressed in factorials without using the () notation

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