Mind challange when friends buys a car

Grinder

Four friends A, B, C and D are buying a car together.
They agree that everyone should have one of the first four trips all alone.

But the following conditions apply:

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

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

3. If and only if A receives the third trip, 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 can they take the first four trips so that all is happy?
Motivate your answer.

Good luck,folks!! =)

I like Serena

Welcome to PF, Grinder!

Grinder

Thanks!!

You have to justify the thought. Are there more? ;)

/Grinder

DaleSpam

Unless I am misunderstanding the conditions, your first answer violates condition 5, and your second answer violates condition 3. Only your third answer satisfies all 5 conditions. Additionally there is


Justification is an exhaustive search of all possibilities

I like Serena

Oops! I mistyped my first solution and miss checked my second solution.


No, there are no more:

Grinder

Hi!

What about ACDB and BCDA then?

What conditions are they violate? Or do they satisfy all conditions??

/Grinder


and yes....I found the smilie button!!

I like Serena

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

walkers

every one is wrong here... i will tell you how...

walkers

go back read the question again and solve it...

walkers

ACDB and BCDA is wrong

walkers

It is easiest to verify the possibilities for D. but If D is first, the rules dictate uniquely when the others go, leading to a wrong answer.With D the order D has to be CDBA.With D third, CADB follows.Finally with D fourth, we get another wrong answer.

nashsur

Hi everyone,

Unless I am misreading the question, the answer is ABCD. To me the list of conditions is just that a list. IF this one does this than that one will be satisfied if he does this. In that case the only condition that has everyone happy in the end is condition 5 If D is last then C wants to be third and A wants to be first. That leaves B to be second.

Did I misread the question?

arbrown123

Unless I am mis-reading this, the answer is CADB

DocHoliday

This one wasn't too hard. I came up with the following answer, if there's any flaws I'd like them to be pointed out.

FrostyRej

CADB @@v hehe.. If I understood it correctly?

piercebeatz

I don't think that I understand this correctly