5 boys and 3 girls are sitting in the front row at a concert. How many ways can their seating be arranged if the girls want to sit together?
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Use the given information to answer each question in the flowchart. Record your responses.
Flowchart Questions
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Response
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Explanation
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Does order matter?
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Yes
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When a person chooses a seat, he or she cannot sit in another chair.
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Are you using all the objects in the group?
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Yes
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All the people are being arranged.
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Are some of the objects identical?
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No
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Each person is distinct.
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Are there conditions?
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Yes
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AND condition: Grouping of the girls is specified.
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Based on your responses in the chart above, you know to use
n
P
r
and multiplication.
There are 4 320 ways the people can be arranged in their seats.
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