SOLUTION: a teacher put five people lettered A,B,C,D and E in a line-up, standing in spots numbered one through six from left to right. there is one empty space. Person E is the third person

Algebra ->  Permutations -> SOLUTION: a teacher put five people lettered A,B,C,D and E in a line-up, standing in spots numbered one through six from left to right. there is one empty space. Person E is the third person      Log On


   



Question 868710: a teacher put five people lettered A,B,C,D and E in a line-up, standing in spots numbered one through six from left to right. there is one empty space. Person E is the third person from the left. Person A is to person B's immediate left. If person D stands in space six swith no one beside him, where is person C
Found 2 solutions by ewatrrr, Edwin McCravy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
_ _ EC _ D, E is the third person from the left & D stands in space six with no one beside him,
ABEC _D , A is to person B's immediate left. C MUST BE IN THE 4TH PLACE

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Here are the spaces:

___  ___  ___  ___  ___  ___ 
 1    2    3    4    5    6  

>>...person D stands in space six with no one beside him...<<
So we have this, with 0 indicating the empty space

___  ___  ___  ___  _0_  _D_ 
 1    2    3    4    5    6    

So all the other spaces 1 through 4 are filled.

>>...Person E is the third person from the left...<<
So we have

___  ___  _E_  ___  _0_  _D_ 
 1    2    3    4    5    6 

>>...Person A is to person B's immediate left...<<
The only two adjacent spaces remaining are spaces 1 and 2,
so we have

_A_  _B_  _E_  ___  _0_  _D_ 
 1    2    3    4    5    6

>>...where is person C?...<<
C is in the only remaining space, 4:

_A_  _B_  _E_  _C_  _0_  _D_ 
 1    2    3    4    5    6

Edwin