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How many ways are there to pick a group of n people from 100 people, and then pick a second group of m people from

How many ways are there to pick a group of n people from 100 people, and then pick a second group of m people from the remaining (100n) people, so that all the people you chose from the first group are taller than the people from the second group (assume that everyone in the group of 100 people has a different height.)

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