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?
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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Question
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
Tree :
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