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First slot can be 8 options (because it can't be 0, because its a 3 digit number, or 2, because its in the statement)
Second slot can be 9 options (because it can't be 2)
Thrid slot can be 9 options (because it can't be 2)

So the total number of three digit numbers that do not contain the digit 2 are 8*9*9=648
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Total digits:10 [0 to 9]

Condition: '2' shouldn't be there. Hence, total digits = 10 - 1= 9

The number required has 3 digits: _, _ , _

First place cannot have '0'. Hence, 8 options.

The remaining two places can have 9 options each.

Total ways: 8 * 9 * 9 = 648

Answer D
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