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The Possible Variations of This Short Handle System?


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When such a short handle like this one is used:

 

janA378

 

How many variations are possible is the question I am asking myself, you would have to follow following regulations:

 

1. It are always four letters and three numeric digits at the end appended.

2. The whole short handle is case-sensitive.

3. The second and fourth letters are always vowels.

 

Can somebody who is good in mathematics shed light in on how to approach calculating the possible variations of this short handle following the regulations?

Given this is an English string with no non-traditional characters...

 

  • 26 letters * 2 (for case sensitivity)
  • 5 vowels (or 6 if you count 'y') * 2 (for case sensitivity)
  • 26 letters * 2 (for case sensitivity)
  • 5 vowels (or 6 if you count 'y') * 2 (for case sensitivity)
  • 10 numbers possible
  • 10 numbers possible
  • 10 numbers possible

 

Without completely giving the answer away, your max under 400 million.

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