31. Combination Lock A combination lock has 60 different positions. To open the lock, the dial is turned to a certain number in the clockwise direction, then to a number in the counterclockwise direction, and finally to a third number in the clockwise direction. If successive numbers in the combi- nation cannot be the same, how many different combinations are possible? 50 10 40 20. 30

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 42E: Combination locks How many permutations does a combination lock have if each combination has 3...
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31. Combination Lock A combination lock has 60 different
positions. To open the lock, the dial is turned to a certain
number in the clockwise direction, then to a number in the
counterclockwise direction, and finally to a third number in
the clockwise direction. If successive numbers in the combi-
nation cannot be the same, how many different combinations
are possible?
50
10
40
20.
30
Transcribed Image Text:31. Combination Lock A combination lock has 60 different positions. To open the lock, the dial is turned to a certain number in the clockwise direction, then to a number in the counterclockwise direction, and finally to a third number in the clockwise direction. If successive numbers in the combi- nation cannot be the same, how many different combinations are possible? 50 10 40 20. 30
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