Eight people - A, B, C, D, W, X, Y, and Z - are seated around a circular table facing the center. Each person is from a different place: Okhla, Dwarka...

Eight people - A, B, C, D, W, X, Y, and Z - are seated around a circular table facing the center. Each person is from a different place: Okhla, Dwarka, Lajpat Nagar, Chanakyapuri, Saket, Mehrauli, Rohini, and Karol Bagh, but not necessarily in that order. The following conditions apply:

• W is sitting third to the left of Y.
• The person from Dwarka is immediately to the right of W, and W is not from Okhla.
• B is sitting fourth to the right of Z.
• Z is not a neighbor of Y.
• Neither B nor Z is an immediate neighbor of W.
• X is from Chanakyapuri and is sitting third to the right of the person from Dwarka.
• The person from Mehrauli is sitting second to the left of the person from Chanakyapuri.
• The person from Rohini is sitting second to the left of W.
• A, who is from Lajpat Nagar, is sitting exactly between X and Z.
• The person from Saket is sitting second to the right of the person from Lajpat Nagar.
• C is sitting third to the left of X.

Question: How many people are sitting between Z and C when counted in an anticlockwise direction starting from C?