A legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats. (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican.

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 legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d)
below.
(a) How many different delegations are possible?
The 4 delegates can be selected
different ways.
(b) How many delegations would have all Democrats?
The 4 delegates can be selected
different ways if all 4 are Democrats.
(c) How many delegations would have 3 Democrats and 1 Republican?
The 4 delegates can be selected
different ways if 3 are Democrats and 1 is a Republican.
(d) How many delegations would include at least 1 Republican?
The 4 delegates can be selected different ways if at least 1 is a Republican.
Transcribed Image Text:A legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats. (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican. (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican.
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