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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!

These are sequential tasks, so you multiply their counts...

8 ways

i don't understand how you got to 8 ways.

495 is the answer I just checked on the calculator

Yes, but how exactly do you get that?

The total count would be the product of these two.

Thanks.

Do you understand it?

Most of it. Why would you multiply rather than add?

You add when you have an option of doing either task. You multiply when you have two do both tasks.

That would make sense since in this question it's an "and".