The policy committee at State University has 6 members: John, Prof. Rise, Dr. Hernandez, LaToyna, Ming, and Jose. A subcommittee of two members must be formed to investigate the visitation policy in the dormitories. List all possible simple random samples of size 2.
A) John and Prof. Rise, John and Dr. Hernandez, John and LaToyna, John and Ming, John and Jose, Prof. Rise and Dr. Hernandez, Prof. Rise and LaToyna, Prof. Rise and Ming, Prof. Rise and Jose, Dr. Hernandez and LaToyna, Dr. Hernandez and Ming, Dr. Hernandez and Jose, LaToyna and Ming, LaToyna and Jose, Ming and Jose
B) John and Prof. Rise, Dr. Hernandez and LaToyna, Ming and Jose
C) John and Prof. Rise, John and Dr. Hernandez, John and LaToyna, John and Ming, John and Jose
D) John and Prof. Rise, Prof. Rise and Dr. Hernandez, Dr. Hernandez and LaToyna, LaToyna and Ming, Ming and Jose

Question

Quizplus · Accepted Answer

Each pair listed in option A represents a unique combination of two members from the committee, covering all possible pairs without repetition, which is consistent with the definition of a simple random sample of size 2 from a group of 6.

The Policy Committee at State University Has 6 Members: John