Electing Offices for a Club: The following members are being voted into office: N = {Alan, Bill, Cathy, David, Evelyn} Assuming they are all eligible to be elected and can only hold one office, list and count the different ways the club could elect each group of officers. Assume Alan, Bill and David are male and Cathy and Evelyn are female. 1) A president and a treasurer 2) A president and a treasurer if the president must be a female 3) A president and a treasurer if the two officers must not be the same sex 4) A president, a secretary, and a treasurer, if the president and treasurer must be women 5) A president, a secretary, and a treasurer if the president must be a man and the other two must be women
Electing Offices for a Club: The following members are being voted into office: N = {Alan, Bill, Cathy, David, Evelyn} Assuming they are all eligible to be elected and can only hold one office, list and count the different ways the club could elect each group of officers. Assume Alan, Bill and David are male and Cathy and Evelyn are female. 1) A president and a treasurer 2) A president and a treasurer if the president must be a female 3) A president and a treasurer if the two officers must not be the same sex 4) A president, a secretary, and a treasurer, if the president and treasurer must be women 5) A president, a secretary, and a treasurer if the president must be a man and the other two must be women
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Electing Offices for a Club: The following members are being voted into office:
N = {Alan, Bill, Cathy, David, Evelyn}
Assuming they are all eligible to be elected and can only hold one office, list and count the
different ways the club could elect each group of officers. Assume Alan, Bill and David are male
and Cathy and Evelyn are female.
1) A president and a treasurer
2) A president and a treasurer if the president must be a female
3) A president and a treasurer if the two officers must not be the same sex
4) A president, a secretary, and a treasurer, if the president and treasurer must be women
5) A president, a secretary, and a treasurer if the president must be a man and the other
two must be women
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