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Car purchase with conditions

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Four friends A, B, C and D are buying a car together.

They agree that everyone should have one of the first four rides are all alone.

But the following mandatory conditions apply:

 

1. If D is allowed to get on the first trip, so would C have the third trip.

 

2. If A or D, will have the second trip, so would C have the first trip.

 

3. If and only if A receives the third trip, would B want to have the second trip.

 

4. Will D get the third trip, A wants the second trip.

 

5. Will D get the last trip would C have the third and A the first.

 

In what possible orders should they drive the car the four first trips so everyone is happy?

Are there multiple solutions? Justify our answer.

 

Good luck, folks!!

 

 

  • 5 weeks later...

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