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Assign The Quants
Discrete Math
Part 1

There are ten employees who must be assigned to various tasks. Three members will be working as quant researchers, four others will be focusing on quant trading, and the rest will work as quant developers.

Before you make the groups, two employees come forward and admit that they have no skill in research and should not be working on that team.

Given this restriction, how many ways can you organize the teams?