Five equally qualified individuals consisting of four men and one woman apply for two identical positions in a company. The two positions are filled by selecting two from this applicant pool at...

Five equally qualified individuals consisting of four men and one woman apply for two identical positions in a company. The two positions are filled by selecting two from this applicant pool at random.

(i) Write down the sample space S for this random experiment;

(ii) Assign probabilities to the simple events in the sample space S;