# SOLUTION: My computer password has a letter followed by 5 digits and then another letter. If there are no repeats, then how many possible such computer passwords are there?

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 266699: My computer password has a letter followed by 5 digits and then another letter. If there are no repeats, then how many possible such computer passwords are there?Answer by Edwin McCravy(8879)   (Show Source): You can put this solution on YOUR website!``` Here is a sample computer password: W83175D Choose a letter to go where the W is any of 26 ways, then Choose a digit to go where the 8 is any of 10 ways, then Choose a digit to go where the 3 is any of the remaining 9 ways, then Choose a digit to go where the 1 is any of the remaining 8 ways, then Choose a digit to go where the 7 is any of the remaining 7 ways, then Choose a digit to go where the 5 is any of the remaining 6 ways, then Choose a letter to go where the D is any of the remaining 25 ways. That's 26*10*9*8*7*6*25 = 19,656,000 possible computer passwords. Edwin```