## lgbasallote 3 years ago there are five people in an elevator in a six storey building. What is the probability that each person gets off the elevator on unique storeys of the building?

1. lgbasallote

it's not that simple....

2. pathosdebater

6*6*6*6*6

3. pathosdebater

6^5 = 7776

4. lgbasallote

no idea where you got that solution....

5. ChmE

$\frac{ 6P5 }{ 6^{5} }$

6. pathosdebater

6P5/6^5

7. lgbasallote

oohh so close...

8. pathosdebater

5P5/5^5?

9. HyperChemist

Well, I hope to learn something new today, given the chance that all the people got off at different stories, wanted to go to different rooms, had to go down or up, I'd say that it would look something like... ah, and theres only 5 people so...P=people F+Floor X: starting place Y: Ending place Y=(5f)...and I do not know what dodo from there.

10. lgbasallote

that's a bit complicated @HyperChemist ....

11. lgbasallote

@pathosdebater why so?

12. HyperChemist

Oh, Y=((5f)-x)5

13. lgbasallote

why put in algebra...

14. pathosdebater

Well if you count the floor they all get into the elevator on, then there are only 5 other floors left.

15. HyperChemist

well, for me it helps...Hoe else could I write it so?

16. lgbasallote

so why didn't we get that solution in the first place?

17. HyperChemist

I guess your right it only complicates things for me

18. pathosdebater

The problem statement specifies that there are 6 stories, so there are 6 other floors to go. Therein lies the misunderstanding...

19. ChmE

You have to include all 6 floors. It doesn't say that some weirdo can't ride the elevator up to the top then back down to the first and gets back off.

20. pathosdebater

Exactly... So, 6P5/6^5

21. lgbasallote

........logical....but doesn't make sense......

22. HyperChemist

right! its all about probability, forget the relativity of the problem

23. lgbasallote

that's actually illegal and unethical in a lot of countries

24. pathosdebater

Not in America!

25. HyperChemist

good answer! lets not get more into politics now...

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