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

question 90

Multiple Choice

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 president, a secretary, and a treasurer, if the president must be a woman and the other two must be men

• A)BAC, BAE, DAC, DAE; 4
• B)BAC, BAE, BCE, DAC, DAE, DCE, BCA, BEA, BEC, DCA, DEA, DEC; 12
• C)BAC, BAE, BCE, DAC, DAE, DCE; 6
• D)ABD, CBD, EBD; 3

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Definitions:

Rival Nation

A country that competes with another, often in economic, military, or technological aspects.

Mercantilism

An economic theory and practice that promotes government regulation of the nation's economy to increase state power at the expense of rival national powers.

Trade Surplus

A situation where a country's exports exceed its imports over a given period.

Sovereign Country

An independent state that possesses full self-government and is not controlled by another state.