Ten individuals are seated in two parallel rows with five people each. In the first row, M, N, O, P, and Q sit facing south, while in the second row, U, V, X, Y, and Z sit facing north. Each person in one row faces exactly one person in the opposite row. They each prefer a different color from the following: Red, Orange, Blue, Brown, Black, White, Yellow, Pink, Peach, and Grey (not necessarily in the same order).

Given the conditions:
- M does not like brown, and P likes black.
- Y sits third to the left of U, who likes yellow.
- M faces an immediate neighbor of Y, who likes orange.
- The person who likes peach sits at an extreme end.
- O sits second to the right of M.
- The person who likes red faces the person who likes pink, but M does not like pink.
- Only one person sits between N and P.
- V and Z are immediate neighbors.
- Z does not face M.
- N does not like grey.
- The person facing U likes white.
- The person facing an immediate neighbor of Y likes brown.

Question: How many persons are seated between N and the person who likes white?

Question

Ten individuals are seated in two parallel rows with five people each. In the first row, M, N, O, P, and Q sit facing south, while in the second row, U, V, X, Y, and Z sit facing north. Each person in one row faces exactly one person in the opposite row. They each prefer a different color from the following: Red, Orange, Blue, Brown, Black, White, Yellow, Pink, Peach, and Grey (not necessarily in the same order).

Given the conditions:
- M does not like brown, and P likes black.
- Y sits third to the left of U, who likes yellow.
- M faces an immediate neighbor of Y, who likes orange.
- The person who likes peach sits at an extreme end.
- O sits second to the right of M.
- The person who likes red faces the person who likes pink, but M does not like pink.
- Only one person sits between N and P.
- V and Z are immediate neighbors.
- Z does not face M.
- N does not like grey.
- The person facing U likes white.
- The person facing an immediate neighbor of Y likes brown.

Question: How many persons are seated between N and the person who likes white?

Accepted Answer

**Solution:**

1. There are two rows of 5 persons each, facing each other: first row (M, N, O, P, Q) facing south and second row (U, V, X, Y, Z) facing north.

2. From the clues:
   - U likes yellow and Y sits third to the left of U.
   - M faces an immediate neighbor of Y who likes orange.
   - The person who likes peach is at an extreme end.
   - O sits second to the right of M.
   - Only one person sits between N and P.
   - V and Z are neighbors.
   - Z does not face M.
   - N does not like grey.
   - The person facing U likes white.
   - The person facing an immediate neighbor of Y likes brown.

3. Using these clues, we arrange the seating and assign colors step-by-step:
   - Since U likes yellow and Y is third to the left of U, positions of U and Y are fixed accordingly.
   - M faces an immediate neighbor of Y, so M faces either V or X (neighbors of Y).
   - The person facing U likes white, so the person opposite U is white.
   - The person facing an immediate neighbor of Y likes brown.

4. After placing all individuals and colors according to the clues, it is found that the person who likes white is seated two places away from N.

**Answer:** Two

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