MedVision ad

how would you interpret this question? (1 Viewer)

Joined
Dec 31, 2009
Messages
4,741
Location
sarajevo
Gender
Female
HSC
2015
Uni Grad
2017
carlo has these 8 tiles: N Z M I G W K S

carlo randomly chooses four tiles, how many distinct ways can he arrange them?

i'll give the answer later to remove any external influences

-----

this was the only thing that prevented me from a perfect 84/84 in my trials :(
 

Robin1

New Member
Joined
May 22, 2010
Messages
16
Gender
Male
HSC
2011
What trial did you do?

carlo has these 8 tiles: N Z M I G W K S

carlo randomly chooses four tiles, how many distinct ways can he arrange them?

i'll give the answer later to remove any external influences

-----

this was the only thing that prevented me from a perfect 84/84 in my trials :(
 

xV1P3R

Member
Joined
Jan 1, 2007
Messages
199
Gender
Male
HSC
2010
Ahh I think I can see where the ambiguity arises.

"carlo randomly chooses four tiles, how many distinct ways can he arrange them?"

It sounds like the choosing has already happened, so all you are doing is calculating how many ways he can arrange the four tiles that he has.

so 4*3*2*1?

Otherwise if you take into account choosing it should be 1680 as others have pointed out.
 
Joined
Dec 31, 2009
Messages
4,741
Location
sarajevo
Gender
Female
HSC
2015
Uni Grad
2017
Ahh I think I can see where the ambiguity arises.

"carlo randomly chooses four tiles, how many distinct ways can he arrange them?"

It sounds like the choosing has already happened, so all you are doing is calculating how many ways he can arrange the four tiles that he has.
this

1/3 of the class got the same answer as me (4!)

rest of class and teacher got 8P4
 

Alkanes

Active Member
Joined
May 20, 2010
Messages
1,417
Gender
Male
HSC
2012
Oh haha yea some perms and combs questions are ambiguous and plays with your mind.
 

someth1ng

Retired Nov '14
Joined
Sep 18, 2010
Messages
5,558
Location
Adelaide, Australia
Gender
Male
HSC
2012
Uni Grad
2021
I would say that 4! is the correct answer since "them" suggests the four tiles that were picked, hence, order 4 tiles. If 1680 was the answer, it should be something like, "How many 4 letter arrangements can be made from these tiles?"

The way it was worded is very poor and you probably won't see something like that in the HSC.
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top