a. A train of 14 cars is to be composed of 6 box cars, 5 flat cars, and 3 tank cars. These are to be chosen from ampng the following groups: 6 box cars from a group of 16 5 flat cars from a group of 10 3 tank cars from a,group of 8 (Assume the order of arrange ment of the cars is not relevant for this part.) b. In this part we assume the 14 cars are already selected, and we are concerned with the number of different arrangements of the 14 cars.
a. A train of 14 cars is to be composed of 6 box cars, 5 flat cars, and 3 tank cars. These are to be chosen from ampng the following groups: 6 box cars from a group of 16 5 flat cars from a group of 10 3 tank cars from a,group of 8 (Assume the order of arrange ment of the cars is not relevant for this part.) b. In this part we assume the 14 cars are already selected, and we are concerned with the number of different arrangements of the 14 cars.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:QUESTION 8
Examples with combinations
Permutations and Combinations
examples
a. A train of 14 cars is to be composed of 6 box cars, 5 flat cars, and 3 tank cars.
These are to be chosen from ampng the following groups:
6 box cars from a group of 16
5 flat cars from a group of 10
3 tank cars from a,group of 8
(Assume the order of arrange ment of the cars is not relevant for this part.)
b. In this part we assume the 14 cars are already selected, and we are concerned with the number of different arrangements of the 14 cars.
How does this number change if instead of 14 distinct cars we assume there are 6 box cars (indistinguishable fromone another) as well as 5 flat cars (also indistinguishable) and 3 tank cars
(also indistiinguishable)?
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