Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric} or G = {A, B, C, D, E}, list and count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office.
-Four representatives
A)ABCD; 1
B)ABCD, ABCE, ACDE, ADEB, BCDE; 5
C)ABCD, ABCE, ACDE, ADEB; 4
D)ABCD, ABCE, ACDE, ADEB, BCDE, BCEA, BDEA, CABD, CEDB, DACE; 10

Question

Quizplus · Accepted Answer

The problem is asking for the number of ways to choose 4 representatives from a group of 5 students. This is a combination problem, and the number of combinations of choosing 4 out of 5 is calculated as 5 choose 4, which equals 5. The correct list of combinations is ABCD, ABCE, ACDE, ADEB, BCDE.

Given a Group of Students: G = {Allen, Brenda, Chad