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LordHades
 2 years ago
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?
LordHades
 2 years ago
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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wio
 2 years ago
Best ResponseYou've already chosen the best response.1You want to split up the problem into simple, easily counted tasks.

wio
 2 years ago
Best ResponseYou've already chosen the best response.1I'd first assign each group their electrical engineers, then assign them their computer engineers.

LordHades
 2 years ago
Best ResponseYou've already chosen the best response.0so 8! / 6! + 12! / 9!

wio
 2 years ago
Best ResponseYou've already chosen the best response.1These are sequential tasks, so you multiply their counts...

LordHades
 2 years ago
Best ResponseYou've already chosen the best response.0i don't understand how you got to 8 ways.

Zoodude
 2 years ago
Best ResponseYou've already chosen the best response.0495 is the answer I just checked on the calculator

LordHades
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, but how exactly do you get that?

wio
 2 years ago
Best ResponseYou've already chosen the best response.1For assigning electrical engineers, I would try: \[ \binom{8}{2}\cdot \binom{6}{2}\cdot \binom{4}{2}\cdot \binom{2}{2} \]

wio
 2 years ago
Best ResponseYou've already chosen the best response.1For assigning computer engineers, I would try: \[ \binom{12}{3}\cdot \binom{9}{3}\cdot \binom{6}{3}\cdot \binom{3}{3} \]

wio
 2 years ago
Best ResponseYou've already chosen the best response.1The total count would be the product of these two.

LordHades
 2 years ago
Best ResponseYou've already chosen the best response.0Most of it. Why would you multiply rather than add?

wio
 2 years ago
Best ResponseYou've already chosen the best response.1You add when you have an option of doing either task. You multiply when you have two do both tasks.

LordHades
 2 years ago
Best ResponseYou've already chosen the best response.0That would make sense since in this question it's an "and".
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