A hint to get started
Count numbers by their number of digits
Given the digits 1, 2, 3, 4, 6 and 8, and using each digit at most once, determine how many numbers can be formed if the number has to be
(i) less than 100,
(ii) between 100 and 1000,
(iii) between 1000 and 10000.
CJC · Discussion · Question 1
Split different digit lengths into disjoint cases, then multiply choices within each case.