100, 110 and 120 are 3 digit multiplies of 10.
8100
15
60 numbers
-3
45 multiples of 2 plus 30 multiples of 3 minus 15 multiples of 6 equals 60 numbers
A zero at the end.
Multiples of 30 from 120 to 990
lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.
There are 49 3-digit numbers - from 108 to 990 inclusive.
All integers have an infinite amount of multiples.
Not necessarily. Consider 444. The digits are not different. The first and second digits are not multiples of 3 The first digit is not greater than the second digit. In spite of all that, 444 is a 3-digit number
8100
15
81
10 of them.
There are 720 of them. The three digit counting numbers are 100-999. All multiples of 5 have their last digit as 0 or 5. There are 9 possible numbers {1-9} for the first digit, There are 10 possible numbers {0-9} for each of the first digits, There are 8 possible numbers {1-4, 6-9} for each of the first two digits, Making 9 x 10 x 8 = 720 possible 3 digit counting numbers not multiples of 5.
99