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The first digit may be any of 5 possibilities.

The second digit may not be same as first, so only 4 possibilities.

Likewise 3rd, 4th, and 5th digits may be chosen from only 4 possibilities.

All together:

5*4*4*4*4 = 1,280 numbers.

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Q: How many 3 digit numbers can be formed from the digits 12345 so that the same digit is not used twice in a row?
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