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Inclusively, there are 99 integers from 1 through 99. 9 of these are
1-digit integers, so that leaves 99-9 or 90 2-digit integers inclusively
from 10 through 99. Tack on a 7 at the right end of each these 90
two-digit integers and we have the desired set of 3-digit integers with
a 7 as the units digit..
Answer: 90
Edwin