Explanation:

Alright, let’s break this puzzle down, statement by statement, and see where the count between I and the person who likes purple really lands.

- We've got a circular table, all faces to the center, and a bunch of unique color preferences.

- A few critical seatings: "One person is sitting between K and the one who likes orange," "F likes yellow," “L likes white,” “J likes grey,” “G likes red,” “I likes rust," etc. All unique, so we're likely dealing with 13 or more people.

- Key seating links:

- F and black are together, no one between.

- A is third right from black.

- E has three between themselves and black.

- The purple and golden lovers sit next to K, but C doesn’t like purple.

- The person liking blue is next to C and is also second left from D.

- Pink is not next to black, and is two away from E.

- L (white) is second right to H; H is immediate to D and third left of B, who is left of yellow.

- G is third right of F, likes red; green is fourth left of G.

- I (rust) is fourth left of M; orange is third right of M.

Okay, with this web, let’s zoom in on your question:

Between I and the person who likes purple, how many people? (from I’s left)

If I seat everyone following all above, what actually happens is:

- After seating all as per the statements, the number of people sitting between I and the purple lover, counted from I’s left, is not 4.

- The actual correct answer is 6.

So, of your options:

Option 3, “6,” is the one that matches the proper layout.

To sum up the relevant bits:

- Stack up the clues involving direct seating (like, A third right of black, G third right of F, etc.).

- Stick to the “two between green and brown,” whose favorite blue, and so forth.

- Double-check the chain: When you count left from I, #6 is the purple lover.

The correct option is:

Option:3, 6

Hope this clears it up! Just make sure to always double-check the circle—these seating puzzles are sneaky.