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[ Up ] Answer For This Week's Puzzle

To solve this problem, let's start by creating one chart that has everyone's name, and another chart that lists all of the different pen colors.

AliceBillCathyDonaldEve
BlueGreenOrangeRedYellow

Now, we know that there were a three markers of each color, and also who does not not have a particular color. In addition, we know that Donald and Eve have the same color markers, so that must mean that Donald can't have Eve's marker color, and Eve can't have Donald's.

Blue Green Orange Red Yellow
33333
Bill Donald Cathy Eve Alice
  Eve   Donald  

We know that both of the boys have an orange marker, and that Eve has the same color markers as Donald.

AliceBillCathyDonaldEve
  Orange   Orange Orange
Blue Green Orange Red Yellow
33033
Bill Donald Cathy Eve Alice
  Eve   Donald  

Three people grabbed both the green and red pens. We know that neither Donald or Eve could have those colors, so that only leaves Alice, Bill, and Cathy.

AliceBillCathyDonaldEve
Green OrangeGreen Orange Orange
Red Green Red    
  Red      
Blue Green Orange Red Yellow
30003
Bill Donald Cathy Eve Alice
  Eve   Donald  

OK, there are only six markers left now. We know that each person has three different colors, and that Donald and Eve both have the same color markers. So, let's write that down.

AliceBillCathyDonaldEve
Green OrangeGreen Orange Orange
Red Green Red Blue Blue
  Red   Yellow Yellow
Blue Green Orange Red Yellow
10001
Bill Donald Cathy Eve Alice
  Eve   Donald  

Finally, we know that Alice can't have the yellow marker, meaning that the last two markers are like this:

AliceBillCathyDonaldEve
Green OrangeGreen Orange Orange
Red Green Red Blue Blue
Blue Red Yellow Yellow Yellow