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They are all three digit numbers between 200 and 699.

The first digit can be one of 2, 3, 4, 5, 6, a selection of 5.

The second digit can be any of the ten digits (0-9) that have not been already picked, namely one of a selection of the remaining 9.

The third digit can be any of the ten digits than have not yet been picked, namely one of a selection of the remaining 8.

So there are 5 x 9 x 8 = 360 numbers with no repeated digits between 200 and 699.

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