How many 3 digit numbers are there without repetition?
Digits available are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Total number of digits = 10
Number of digits used = 3
Number of filling box (z) = 9 [∴ If 0 is put in there, it becomes a two digit number] m = 9
Number of ways of filling box (y) = 9 (3 Repetition is not allowed) n = 9
Number of ways of filling box (x) = 8 (3 Repetition is not allowed) p = 8
∴ The number of 3 digit numbers or numbers between 100 and 1000
= m x n x p = 9 x 9 x 8 = 648