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?

Use the given information to answer each question in the flowchart. Record your responses.

Flowchart Questions
Response
Explanation
Does order matter?
Yes
When a person chooses a seat, he or she cannot sit in another chair.
Are you using all the objects in the group?
Yes
All the people are being arranged.
Are some of the objects identical?
No
Each person is distinct.
Are there conditions?
Yes
AND condition: Grouping of the girls is specified.

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.