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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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