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.
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.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F602a4573-e06d-450b-8a6b-e8ca3e8da5d8%2Ffd7a40ae-9768-4a6b-99ae-bec5882f64ed%2Fc9oxulh_processed.png&w=3840&q=75)
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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