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4. The Greater Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions? (Note: Two ways are considered different if there is a person in one way who has a different role or no role in the other way. For example, if Alice is President in one way and she is Vice President in another, those two ways must count differently. But if she is an at large member in both ways, that is not by itself enough for those ways to be different.

4. The Greater Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions? (Note: Two ways are considered different if there is a person in one way who has a different role or no role in the other way. For example, if Alice is President in one way and she is Vice President in another, those two ways must count differently. But if she is an at large member in both ways, that is not by itself enough for those ways to be different.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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= vE v Ev E E| 三=山山一山<一 A Aa v AaBbCcDdEe AaBbCcDdEe AaBbCcDc AaBbCcD A 2v A v v匿、 Normal No Spacing Heading 1 Heading 4. The Greater Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions? (Note: Two ways are considered different if there is a person in one way who has a different role or no role in the other way. For example, if Alice is President in one way and she is Vice President in another, those two ways must count differently. But if she is an at large member in both ways, that is not by itself enough for those ways to be different.
Transcribed Image Text:= vE v Ev E E| 三=山山一山<一 A Aa v AaBbCcDdEe AaBbCcDdEe AaBbCcDc AaBbCcD A 2v A v v匿、 Normal No Spacing Heading 1 Heading 4. The Greater Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions? (Note: Two ways are considered different if there is a person in one way who has a different role or no role in the other way. For example, if Alice is President in one way and she is Vice President in another, those two ways must count differently. But if she is an at large member in both ways, that is not by itself enough for those ways to be different.
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