How many numbers between 1-1000 contains at least one 3?

Answer 1

all the 300's , so that leaves 900 numbers

of those 900 all the 30's, so that leaves 810 numbers

of those all the 3's, so that leaves 729 numbers don't

there are 998 numbers between 1 and 1000, so 998 - 729 = 269 (271 if 1 & 1,000 are inclusive)