The number of numbers between 2 , 000 and 5 , 000 that can be formed with the digits 0 , 1 , 2 , 3 , 4 (repetition of digits is not allowed) and are multiple of 3 is

Step-by-step solution

When a number is divisible by 3 , then sum of digits of a number is also divisible by 3 . Number can be formed from ( 0 , 1 , 2 , 3 ) or ( 0 , 2 , 3 , 4 ) . Number of 4 digits number = 3 × 3 × 2 × 1 + 3 × 3 × 2 × 1 = 36 .