Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why...
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why the particular counting technique applies to the problem.
How many different four character
passwords can be formed from the
uppercase letters of of the alphabet
if repetition is not allowed?
Determine the appropriate counting technique. Choose the correct answer below.
Homework Answers
Since repetition is not allowed and order of arrangement is important, this is a case of permutation.
Permuatation formula: nCr = n!/(n-r)!
Number of letters to choose from, n = 26
Number of letters to be selected = 4
Number of different four character passwords can be formed from the uppercase letters of of the alphabet, if repetition is not allowed = 26P4
= 26!/(26-4)!
= 26x25x24x23
= 358,800
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