Read the following passage and solve the questions based on it.
Each group of questions in this section is based on a set of conditions. In while answering some questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question.
A company wants to select a team of four call center executives from its centre based in South India for a transfer to their newly set up centre in north India. The company is managed by professional managers and is very particular about human resources and Personal relations. There are seven team members of equal ability: X, Y and Z (who are senior), and A, B, C and D (who are junior). The company requires two senior executives and two junior in the team. It is necessary that all the executives in a particular team are friendly with each other, in order to maintain team spirit and avoid any personal relation problems in the new centre. The relationship between the seven executives is as follows:
(i) Y and A are not friendly
(ii) Z and C are not friendly
(iii) A and B are not friendly
I. Y and C are never selected together II. Z and B are never selected together III. Z and D are never selected together
Which statement(s) must be false?
I. Y and C are never selected together
II. Z and B are never selected together
III. Z and D are never selected together