Question

how many 6 digit numbers can be made using the digits 833,284

Answer 1

You can arrange 6 things 6! (six factorial) ways. However if you have, say, 3 things being arranged within those 6 things that are exactly the same then all 3! ways of arranging those are really just exactly the same. So you can divide that amount out of your original 6! ways of arranging them to get: 6!/3!.

Of course this is just an example that is fairly similar to what you're doing here, you might have to divide out different amounts and multiple amounts of things that can be arranged the same way. Good luck!