Hi,

Model I has 8 colors & 4 options, Model II has 8 colors & 4 options 

 Model I outcomes possible:

8(4C4 + 4C3 + 4C2 + 4C1 ) = 8(1 + 4 + 6 + 4) = 8(15)

Same number of Outcomes for Model II

Total outcomes:  2(8)(15)

Wish You the Best in your Studies.

 

Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
 .





As worded, this post MAKES no SENSE,





since it does not define the notion/conception of "options".







Good for re-cycling, only.









Since the post is NONSENSE, do not take seriously that solution, which follows.





It MAKES no SENSE, too.







/\/\/\/\/\/\/







Post - note after reading the post by @greenestamps.







            Dear @greenestamps, in opposite to your opinion,  I  PERFECTLY  understand and understood the meaning of the problem.





            Nevertheless,  I think that in such form no one post may come to the forum and no one post can be accepted.





            According to it,  my reaction was.







            @greenestamps,  PLEASE  NEVER  think about me that I have a lack of brain cells in my head.





            I have them  quite  ENOUGH.







 

Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!
 
Be sure to post the COMPLETE problem.  You did not give us the number of
possible available options that we can select 4 from.  Without that number the
problem cannot be worked.

Edwin
 

Answer by greenestamps(13208)   (Show Source): You can put this solution on YOUR website!
 


Two tutors provided responses showing that they did not understand the problem as presented; another tutor provided a response that I think reads something into the problem that is not there.


With 2 models and 8 colors, there are 2*8=16 combinations of model and color.


Then "any combination of 4 options" means there are 4 options available, and you can choose ANY combination of them, including none of them.


Counting the number of combinations of 4 of the options is like finding the number of subsets of a set containing 4 elements; including the empty set (choosing none of the 4 options).  The number of subsets of a set with n elements is 2^n, so the number of possible combinations of the 4 options is 2^4=16.


So the total number of possible cars is 2*8*16 = 256.


 

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