g: Permutations Arrangements of n objects; order matters 1. Choose 3 different colors of cubes. Display these three colors in as many different ways as you can. (For example, a row of red, green, and blue is different from a row of green, red, and blue.) You cannot repeat colors. a. How many different ways did you find to order the three cubes? Once you have displayed all orders with your cubes, list all ways here. Then try to show your solution with a tree. b. For any given row, how many choices do you have for your first color? c. Once you have chosen that first color, how many different choices do you have for your second color? Your third color?
g: Permutations Arrangements of n objects; order matters 1. Choose 3 different colors of cubes. Display these three colors in as many different ways as you can. (For example, a row of red, green, and blue is different from a row of green, red, and blue.) You cannot repeat colors. a. How many different ways did you find to order the three cubes? Once you have displayed all orders with your cubes, list all ways here. Then try to show your solution with a tree. b. For any given row, how many choices do you have for your first color? c. Once you have chosen that first color, how many different choices do you have for your second color? Your third color?
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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Expert Solution
Step 1:-
There are total 3 colors of cubes. Let R represents red, G represents green and B represents blue.
Total no. of ways to order the cubes = 3!
= 3*2*1= 6
Then the possible rows are,
RGB , RBG, BRG, BGR, GRB, GBR
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