There are seven friends having different nicknames: Red, Orange, Yellow, Green, Blue, Indigo and Violet. There are seven chairs colored: red, orange, yellow, green, blue, indigo and violet.

1. No friend sat on a chair having a color that matches his name, and:
2. Red did not sit in the violet chair, and:
3. Orange did not sit in the indigo chair.

Determine the probability that:

(i) (Red, Orange, Yellow) = (blue chair, green chair, red chair)
(ii) Yellow did not sit on the blue chair and Green did not sit on the yellow chair.
(iii) Yellow sat on the green chair given that Green did not sit on the blue chair.