Math, asked by agspriya, 8 months ago

and answer the question given below.
In a sports meet, six different runners from India 'A', 'B','C', 'D', 'E' and 'F participate in the race. The following statements are all true about the result of
There were no ties.
(II) 'A' did not finish last.
(111) 'E' finished third.
(IV) 'B' finished either immediately before or immediately after 'D'.
Question:
All of the following are possible orders of the racers at the finish line, from first place to last place, except
A, B, D, E, C F
C, F, E, A, D, B
F A, E, B, D, C
D, B, E, F, A, C​

Answers

Answered by amitnrw
19

Given :  In a sports meet, six different runners from India 'A', 'B','C', 'D', 'E' and 'F participate in the race.  

There were no ties.   , (II) 'A' did not finish last.     , (111) 'E' finished third.

(IV) 'B' finished either immediately before or immediately after 'D'.

To find : which is not possible order

A, B, D, E, C F

C, F, E, A, D, B

F A, E, B, D, C

D, B, E, F, A, C​

Solution:

'E' finished third.  

'B' finished either immediately before or immediately after 'D'.

so  B & D  can be  1 , 2  or  4 , 5    or   5 , 6

A' did not finish last.  

hence A is not  6

1   2  3  4  5  6

A, B, D, E, C F   - not possible as  E  is third  while here E  is 4th

C, F, E, A, D, B  - possible   as all given statements satisfied

E is third  , A is not last  & BD are together

F A, E, B, D, C   - possible   as all given statements satisfied

E is third  , A is not last  & BD are together

D, B, E, F, A, C​   - possible   as all given statements satisfied  

E is third  , A is not last  & BD are together

A, B, D, E, C F  is not possible

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