Three persons A,B, C were sitting in a row of three chairs.When asked about their respective positions, each of them made two statements as follows.It is known that each of them made a true statement and a false statement in any order.
A: I am at te extreme left.
C is at the extreme right.
B: A is between me and C and myself.
I am at extreme right.
C: I am at the extreme left.
B is at the extreme right.
What are the actual positions from left to right?