The number of numbers between 2 , 000 and 5 , 000 that can be formed with the digits 0 ,   1 ,   2…

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
  1. 36
  2. 30
  3. 24
  4. 48

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.

Asked in: JEE Main 2018 (16 Apr Online)

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