Let's solve the problem step by step:
1. Z is second to the left of O, so O is two positions to the right of Z.
2. O is to the immediate left of Y, so Y is immediately to the right of O.
3. M is third to the left of X, so X is three positions to the right of M.
4. N is between P and X, so P and X are on either side of N.
Based on these positions, we can visualize the seating arrangement as follows:
\[
\text{Y - O - Z - M - P - N - X}
\]
From this arrangement, it is clear that M is to the immediate right of Z.
Thus, the correct option is (3).