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2 points --
1. 625 / 25 = 25. Dogbert is saying 2 fixes together will fix the issue.
2. Dogbert is implying the opposite of laziness. He's implying that it will take many hours, which agrees with what we know about Dogbert... he is likely charging by the hour... or leading up to some other angle of charging the guy and doing nothing...
The correct number of combinations is 33554431 as Shashakiro pointed out, assuming that you can choose any from 1 to 25 fixes and the order in which you apply them doesn't matter.
The formula is the sum for k=1 to 25 of (25 choose k)
Well, sorry about that... Both comments just before hat it correctly, but the "PLUS" sign is not displayed in my browser (and maybe in none of the browsers)...