A combination lock consists of a dial with 33 numbers on it. To open the lock, you turn the dial to the right until you reach the first number, then to the left until you get to the second number, then to the right again to the third number. The numbers must be distinct. How many different combinations are possible?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 40E
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A combination lock consists ofa dial with 33 numbers on it. To open the lock, you turn the dial to the right until you reach the first
number, then to the left until you get to the second number, then to the right again to the third number. The numbers must be distinct.
How many different combinations are possible?
Transcribed Image Text:A combination lock consists ofa dial with 33 numbers on it. To open the lock, you turn the dial to the right until you reach the first number, then to the left until you get to the second number, then to the right again to the third number. The numbers must be distinct. How many different combinations are possible?
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