How many three digit numbers that do not contain the digit 2 are there?
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Three digit numbers that do not contain the digit 2 are 648.
Step-by-step explanation:
- There are 10×9×8 numbers of the form (abc)10 with a, b, c ∈ {0,1,2,…,9} and distinct.
- Of these, 9×8 numbers are of the form (0bc)10 with b,c∈{0,1,2,…,9} and b ≠ c.
- Thus there are 9×8×(10–1)=648 three-digit numbers with distinct digits.
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