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

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.
-A male president and three representatives

A) ABCD, ACDE, CABD, CABE, EABC, EABD; 6
B) ABCD, CABD, CABE, EABD, ADCB, AEDC, CDBA, ECBA, EDBA; 9
C) ABCD, CABD, EABC; 3
D) ABCD, ACDE, ABCE, ABDE, CABD, CABE, CBDE, CADE, EABC, EABD, EBCD, EACD; 12

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