Write constraints to satisfy each of the following conditions in a project selection model.

The projects are numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

(i) Exactly one project from the set (1, 2, 3) must be selected.

(ii) Project 2 can be selected only if number 10 is selected. However, 10 can be selected without 2 being selected.

(iii) No more than one project from the set (1, 3, 5, 7, 9) can be selected.

(iv) If number 4 is selected, then number 8 cannot be selected.

(v) Projects 4 and 10 must both be selected or both be rejected.