Discrete mathematics Combinatory exercises Solution with all the steps 16 guests must be spread over 3 tables. 1. How many ways are there to distribute the guests (regardless of the order in which they are seated)? 2. How many ways are there to choose the number of guests per table (without specifying who sits where)? (i.e. How many ways to choose (n n2, n3) where n is the number of guests at table i?)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the...
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Discrete mathematics
Combinatory exercises
Solution with all the steps
16 guests must be spread over 3 tables.
1. How many ways are there to distribute the guests (regardless of the order in
which they are seated)?
2. How many ways are there to choose the number of guests per table (without
specifying who sits where)? (i.e. How many ways to choose (n,n2, n3) where n
is the number of guests at table i?)
3. What if a minimum of 3 guests per table is imposed?
Transcribed Image Text:Discrete mathematics Combinatory exercises Solution with all the steps 16 guests must be spread over 3 tables. 1. How many ways are there to distribute the guests (regardless of the order in which they are seated)? 2. How many ways are there to choose the number of guests per table (without specifying who sits where)? (i.e. How many ways to choose (n,n2, n3) where n is the number of guests at table i?) 3. What if a minimum of 3 guests per table is imposed?
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