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Since the number must be even, the third digit must be either the 2 or the 6 = 2 choices.

For each of those . . .

The second digit can be any one of the 4 remaining ones. For each of those . . .

The first digit can be any one of the 3 remaining ones.

Total number of ways to line them up = 2 x 4 x 3 = 24

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Q: How many even 3 digit numbers can be formed from digits 1 2 5 6 9 if each digit can be used only once?
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