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oryxncrake
Average Member

USA
7 Posts
Posted - 10/26/2009 :  16:42:27  Show Profile  Reply with Quote
can someone help me with this combinatoric question?

janie is participating in a coffee-tasting experiment, which asks if a person can tell the different between decaf and regular coffee.

there are 5 cups of coffee in all. janie knows that 3 are decaf and the other 2 are regular caffeinated coffees.

the question is, how many different arrangements of decaf and regular coffee can be made from this experiment?

thankyou
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raghu
Senior Member

USA
32 Posts
Posted - 10/26/2009 :  19:20:43  Show Profile  Reply with Quote
for this problem you need to find how many ways you can randomly choose two cups of coffee(caffeinated) out of five cups

Solution:5 choose 2=5!/(3!)(2!)=10
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