After months of talent searching for an administrative assistant to the president of the college the
field of applicants had been narrowed down to five (A, B, C, D and E). It was announced that the
finalist would be chosen after a series of all day group personal interviews. The examining
committee agreed upon the following procedure.
1. The interviews will be held once a week.
2. Three candidates will appear at any all day interview session.
3. Each candidate will appear at least once.
4. If it becomes necessary to call applicants for additional interviews, no more than one such
applicant should be asked to appear the next week.
5. Because of a detail given in the written applications, it was agreed that whenever candidate B
appears, A should also be present.
6. Because of travel difficulties, it was agreed that C will appear for only one interview.
Which of the following is a possible sequence of combinations for interviews in two successive weeks?
Solution
Check rules:
Whenever B appears → A must appear
C appears only once
Only one repeated candidate
Only ABD; ABE satisfies all rules.