There are seven players Animesh, Baman, Charan, Danish, Sachin, Rahul, and Kapil each of them likes to play different games Cricket, Football, Badminton, Tennis, Shooting, Race, and Swimming but not necessarily in same order are sitting around a circular table. Each of them is either facing the center or facing outside (opposite to the center). ● There are exactly five persons facing towards outside direction such that all five are sitting together. ● Sachin is sitting between person who likes to play Football and Rahul.  ● Animesh is sitting third to the right of person who likes to play shooting and Animesh is facing towards center. ● Danish who likes to play Race is sitting between Baman and Rahul ● Rahul who likes to play shooting is sitting third to the left of Charan who likes to play Badminton. ● Baman who likes to play Tennis is sitting immediate left of Charan. ● Charan is facing towards center ● Sachin is not likes to play cricket. Which of the following statement is/are true based on the given arrangement?
I. Sachin likes to Play Race.
II. Baman likes to play Tennis and facing towards center.
III. Charan likes to play Badminton and facing towards center.