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If you must use each digit once, and only once, then there are 3 ways to pick the first digit, and 2 way to pick the second. This then leaves only 1 number available for third place, so there is no choice for it. 3 multiplied by 2, multiplied by 1 = 6

123

132

213

231

312

321

If you don't have to use each digit very time, but still cannot repeat a digit then there are 9 extra choices available. 012

013 021

023 031

032 001

002

003

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Q: How many combinations of the numbers 1 2 and 3 using each digit only can I get?
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How many 4 digit combinations can be made using numbers 1 2 3 4 6?

120 combinations using each digit once per combination. There are 625 combinations if you can repeat the digits.


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