A company has its Scottish offices in Glasgow, Edinburgh and Aberdeen and it wants to put a team of five employees together to send to negotiate new contracts abroad. There are 12 employees in the Glasgow office, 15 employees Edinburgh and 3 employees in Aberdeen. 1. How many teams may be chosen altogether? 2. How w many possible teams include: m a. all the members of the Aberdeen office? b. no members from the Edinburgh office? c. at least one member from the Glasgow office?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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A company has its Scottish offices in Glasgow, Edinburgh and Aberdeen and it wants to put team of five employees together to send to negotiate new contracts abroad. There are 12 employees in the Glasgow office, 15 employees in Edinburgh and 3 employees in Aberdeen.
1. How many teams may be chosen altogether?
2. How many possible teams include:
a. all the members of the Aberdeen office?
b. no members from the Edinburgh office?
c. at least one member from the Glasgow office?
Transcribed Image Text:A company has its Scottish offices in Glasgow, Edinburgh and Aberdeen and it wants to put team of five employees together to send to negotiate new contracts abroad. There are 12 employees in the Glasgow office, 15 employees in Edinburgh and 3 employees in Aberdeen. 1. How many teams may be chosen altogether? 2. How many possible teams include: a. all the members of the Aberdeen office? b. no members from the Edinburgh office? c. at least one member from the Glasgow office?
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