There are 8 electrical engineers and 12 computer engineers who are doing a group project. We need to divide them into 4 groups of 5 so that each group contains exactly 2 electrical engineers and 3 computer engineers. How many ways can this be done?

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You want to split up the problem into simple, easily counted tasks.

I'd first assign each group their electrical engineers, then assign them their computer engineers.

so 8! / 6! + 12! / 9!

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