A picnic party of eight persons consists of two women A and B, three men P, Q and R and three children X, Y and Z. Each of these eight members should find place in one of the three teams being formed to play picnic games according to the following conditions.
(i) Each team must have either two or three members.
(ii) Each team must have at least one child.
(iii) A and X cannot be in the same team.
(iv) Q and R cannot be in the same team.
(v) P and Y must be in the same team.
If A is in the same team as P, which of the following could be true?