In each problem, please indicate what kind of permutations is involved, then solve. Show your complete solution. 1. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5 friends arrange themselves in a row for taking pictures? 2. How many different arrangements are possible with all the letters of the word GOOGLE? 3. In how many ways can 5 people be seated around a circular table? 4. Seven runners join a race. In how many possible ways can they be arranged as first, second and third? 5. If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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In each problem, please indicate what kind of permutations is involved, then solve.
Show your complete solution.
1. The view of Sampaloc Lake is a very nice background to take pictures of. How
many ways can 5 friends arrange themselves in a row for taking pictures?
2. How many different arrangements are possible with all the letters of the word
GOOGLE?
3. In how many ways can 5 people be seated around a circular table?
4. Seven runners join a race. In how many possible ways can they be arranged as
first, second and third?
5. If there are 10 people and only 6 chairs are available, in how many ways can
they be seated?
Transcribed Image Text:In each problem, please indicate what kind of permutations is involved, then solve. Show your complete solution. 1. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5 friends arrange themselves in a row for taking pictures? 2. How many different arrangements are possible with all the letters of the word GOOGLE? 3. In how many ways can 5 people be seated around a circular table? 4. Seven runners join a race. In how many possible ways can they be arranged as first, second and third? 5. If there are 10 people and only 6 chairs are available, in how many ways can they be seated?
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