QUESTION 10 Permutations and Combinations examples a. A train of 12 cars is to be composed of 5 box cars, 4 flat cars, and 3 tank cars. These are to be chosen from ampng the following groups: 5 box cars from a group of 14 4 flat cars from a group of 11 3 tank cars from a,group of 9 (Assume the order of arrange ment of the cars is not relevant for this part.) b. In this part we assume the 12 cars are already selected, and we are concerned with the number of different arrangements of the 12 cars. How does this number change if instead of 12 distinct cars we assume there are 5 box cars (indistinguishable fromone another) as well as 4 flat cars (also indistinguishable) and 3 tank cars (also indistiinguishable)?
QUESTION 10 Permutations and Combinations examples a. A train of 12 cars is to be composed of 5 box cars, 4 flat cars, and 3 tank cars. These are to be chosen from ampng the following groups: 5 box cars from a group of 14 4 flat cars from a group of 11 3 tank cars from a,group of 9 (Assume the order of arrange ment of the cars is not relevant for this part.) b. In this part we assume the 12 cars are already selected, and we are concerned with the number of different arrangements of the 12 cars. How does this number change if instead of 12 distinct cars we assume there are 5 box cars (indistinguishable fromone another) as well as 4 flat cars (also indistinguishable) and 3 tank cars (also indistiinguishable)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:QUESTION 10
Permutations and Combinations
examples
a. A train of 12 cars is to be composed of 5 box cars, 4 flat cars, and 3 tank cars.
These are to be chosen from ampng the following groups:
5 box cars from a group of 14
4 flat cars from a group of 11
3 tank cars from a,group of 9
(Assume the order of arrange ment of the cars is not relevant for this part.)
b. In this part we assume the 12 cars are already selected, and we are concerned with the number of different
arrangements of the 12 cars.
How does this number change if instead of 12 distinct cars we assume there are 5 box cars (indistinguishable fromone
another) as well as 4 flat cars (also indistinguishable) and 3 tank cars (also indistiinguishable)?
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