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My solution to this is 26*26*26*26*10*10*8 = 365,580,800.
Do we know that repetitions are allowed?
The question was not clear on that. I assume that there is repetition. I will ask the professor and if repetition is not allowed, then i can do 26*2*24....
26*26*26*26*10*10*8 I got what you did, assuming the letters come first and reps are allowed.
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