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

wio
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0so 8! / 6! + 12! / 9!

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

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

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

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

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

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

wio
 one year 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
 one year 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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