Each of the students in the DMS 111 January-April 2017 class belongs to at least one of three most popular student professional associations at University of Nairobi, School of Business, Mombasa Campus; Finance Students Association (FISA), Operations Management Students Association (OMSA) and Marketing Students Association (MSA). A survey shows that 27 are members of FISA, 40 are members of OMSA and 26 are members of MSA. 6 students belong to all the three associations. Of the students who are members of OMSA, 9 are also members of FISA, while 21 do not belong to any other association. 10 are members of FISA and MSA but not OMSA. Required

(i) Present this information on a Venn diagram.

(ii) How many students are members of MSA only?

(iii) Determine the number of students in the DMS 111 January-April 2017 class.

(iv) Compute the proportion of students who belong to exactly two professional associations.