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My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?

 Apr 1, 2020
 #1
avatar+111321 
+3

Sometimes....I find  it  helpful  to  make  a chart

 

Call the people A, B, C, D

 

Cook                   Clean

AB                       CD

AC                       BD

AD                       BC

BC                       AD

BD                       AC

CD                       AD

 

This  makes  sense....from any  of the 4, we want to choose any 2 to  cook  = C(4,2)  = 6

The  ones  who clean  are  defaulted by our  choice  of the cooks

 

 

cool cool cool

 Apr 1, 2020

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