Question

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 100 -n people, so that all the people you chose from the first group are taller than the people from the seconod group (assume that everyone in the group of 100 people has a different height.) Note: it is implied in this question that 1くnく100 and 0 mく100-n.

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