In the game of Mastermind, one player selects a code by inserting any combination of four pegs in a row of four hidden holes. There are six colors of pegs to choose from. The second player tries to guess the code by repeatedly inserting four pegs in a row and receiving feedback from the codemaker on the number of pegs of the correct color and the number of pegs in the correct position. Suppose the codemaker first selects four pegs for the code from a large supply of six colors, then determines the order the pegs will be placed in the four holes. 1) How many ways may the codemaker select the four pegs for the Mastermind code? 2) How many different Mastermind codes are possible
In the game of Mastermind, one player selects a code by inserting any combination of four pegs in a row of four hidden holes. There are six colors of pegs to choose from. The second player tries to guess the code by repeatedly inserting four pegs in a row and receiving feedback from the codemaker on the number of pegs of the correct color and the number of pegs in the correct position. Suppose the codemaker first selects four pegs for the code from a large supply of six colors, then determines the order the pegs will be placed in the four holes. 1) How many ways may the codemaker select the four pegs for the Mastermind code? 2) How many different Mastermind codes are possible
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
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In the game of Mastermind, one player selects a code by inserting any combination of four pegs in a row of four hidden holes. There are six colors of pegs to choose from. The second player tries to guess the code by repeatedly inserting four pegs in a row and receiving feedback from the codemaker on the number of pegs of the correct color and the number of pegs in the correct position. Suppose the codemaker first selects four pegs for the code from a large supply of six colors, then determines the order the pegs will be placed in the four holes.
1) How many ways may the codemaker select the four pegs for the Mastermind code?
2) How many different Mastermind codes are possible?
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