How many distinct numbers greater and equal to 100 and smaller than 3000 can be formed using digits 0,1,2,3,4, without repetition of digits?
number of 3 digit numbers , must start with 1,2,3,or4
=4x4x3 = 48
number of 4 digit numbers ,must start with 1 or 2
= 2x4x3x2 = 48
total = 96