2. There are 12 students in a party. Five of them are girls. In how many ways can these 12 students be arranged in a row if a) there are no restrictions? b) the 5 girls must be together (forming a block)? c) no 2 girls are adjacent? d) between two particular boys A and B, there are no boys but exactly 3 girls?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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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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2. There are 12 students in a party. Five of them are girls. In how many ways can
these 12 students be arranged in a row if
a) there are no restrictions?
b) the 5 girls must be together (forming a block)?
c) no 2 girls are adjacent?
d) between two particular boys A and B, there are no boys but exactly 3
girls?
Transcribed Image Text:2. There are 12 students in a party. Five of them are girls. In how many ways can these 12 students be arranged in a row if a) there are no restrictions? b) the 5 girls must be together (forming a block)? c) no 2 girls are adjacent? d) between two particular boys A and B, there are no boys but exactly 3 girls?
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