In an MBA college having 480 students, each student had to choose 3 out of 5 subjects namely Brand Management (BM), Digital Marketing (DM), Retail Marketing (RM), Consumer Behaviour (CM) and Market Research (MR). The following information is about the selection of three subjects namely BM, DM and RM by the students. (i) Three times the number of students who chose exactly 2 of the 3 subjects was equal to the sum of the number of students who chose exactly one subject and that of those who chose exactly three subjects. (ii) The number of students who chose both DM and RM but not BM was 16 more than that of those who chose both BM and DM but not RM. (iii) The number of students who chose all the three subjects was at least 15. (iv) The number of students who chose only DM was more than that of those who chose only BM. (v) The number of students who chose both BM and DM but not RM was at least one- fifth and at most one-third that of those who chose exactly two subjects. (vi) The number of students who chose BM was 4 less than that of those who chose RM. (vii) The number of students who chose only RM was 6 times that of those who chose all the three subjects. Q.44 What was the maximum number of students who chose BM ?