Suppose that you have a combination lock that uses letters instead of numbers for its combination, and that three letters make up the combination that will open the lock. If any of the 26 letters may show up in any of the three places of the combination (with no repeats allowed), how many combinations are possible with this lock?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 3ECP: A combination lock will open when you select the right choice of three numbers (from 1 to 30,...
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Suppose that you have a combination lock that uses letters instead of numbers for its combination, and that three letters make up the combination that will open the lock. If      any of the 26 letters may show up in any of the three places of the combination (with  no     repeats allowed), how       many combinations are possible with this lock?  

 

   

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