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What is the probability that all three prizes go to women? Party guests are each given a number at the door when they come in

What is the probability that all three prizes go to women?

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Party guests are each given a number at the door when they come in and during the party 3 numbers will be chosen at random from a hat to win door prizes. There are 20 people at the party of which 10 are women and 10 are men. What is the probability that all three prizes go to women? If the answer is not an integer, enter it as a fraction in simplest form. E

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