If you mean a minimal form, go with this:
if (not a or not b or not c) and (a or b or c):
Which translates the title of your question.
UPDATE: as correctly said by Volatility and Supr, you can apply De Morgan's law and obtain equivalent:
if (a or b or c) and not (a and b and c):
My advice is to use whichever form is more significant to you and to other programmers. The first means "there is something false, but also something true", the second "There is something true, but not everything". If I were to optimize or do this in hardware, I would choose the second, here just choose the most readable (also taking in consideration the conditions you will be testing and their names). I picked the first.
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