Explanation
To solve this seating arrangement of six people (A, B, C, D, E, and F) facing towards the center of a circle, we can place them in six positions numbered 1 to 6 in a clockwise direction.
Let D be seated at position 1.
Since they are facing the center, moving clockwise represents the left direction, and moving counter-clockwise represents the right direction.
A is second to the left of D, which places A at position 3 (two steps clockwise from position 1).
A is also second to the right of E. Since moving counter-clockwise represents the right direction, E must be at position 5 so that A (at position 3) is two steps to E's right.
D is seated between F and B, meaning F and B must occupy positions 2 and 6 in some order.
The only remaining position is position 4, which must be occupied by C.
In a six-person circular arrangement, the person directly opposite to the person at position 1 is at position 4. Since position 1 is occupied by D and position 4 is occupied by C, C is facing towards D.