Assuming all members are eligible, but no one can hold more than one office, list and count the different ways the club could elect a president, a secretary, and a treasurer if the president must be a man and the other two must be women. (Cassie and Emma are women, and the others are men.) N = {Alvin, Brad, Cassie, Douglas, Emma} or, in abbreviated form, N = {A, B, C, D, E} Choose the correct list of possible trios of presidents, secretaries and treasurers. OA. ACE, AEC, BCE, BEC, DCE, DEC OB. CEA, ECA, BED, CED, BCE OC. CED, BEC, CEA, ACE O D. ACE, CED, BEC, CEA, BCE C... How many ways can a president, secretary, and treasurer be elected?

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Assuming all members are eligible, but no one can hold more than one office, list and count the different ways the club could elect a president,
a secretary, and a treasurer if the president must be a man and the other two must be women. (Cassie and Emma are women, and the others are men.)
N = {Alvin, Brad, Cassie, Douglas, Emma} or, in abbreviated form, N = {A, B, C, D, E}
Choose the correct list of possible trios of presidents, secretaries and treasurers.
A. ACE, AEC, BCE, BEC, DCE, DEC
B. CEA, ECA, BED, CED, BCE
C. CED, BEC, CEA, ACE
D. ACE, CED, BEC, CEA, BCE
How many ways can a president, secretary, and treasurer be elected?
Transcribed Image Text:Assuming all members are eligible, but no one can hold more than one office, list and count the different ways the club could elect a president, a secretary, and a treasurer if the president must be a man and the other two must be women. (Cassie and Emma are women, and the others are men.) N = {Alvin, Brad, Cassie, Douglas, Emma} or, in abbreviated form, N = {A, B, C, D, E} Choose the correct list of possible trios of presidents, secretaries and treasurers. A. ACE, AEC, BCE, BEC, DCE, DEC B. CEA, ECA, BED, CED, BCE C. CED, BEC, CEA, ACE D. ACE, CED, BEC, CEA, BCE How many ways can a president, secretary, and treasurer be elected?
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