Q164 / 270 · NDA 2016 (Phase 2) · Mathematics

A five-digit number divisible by 3 is to be formed using the digits $0,1,2,3$ and 4 without repetition of digits. What is the number of ways this can be done?

  • A
    $96$
  • B
    $48$
  • C
    $32$
  • Correct answer
    D
    No number can be formed

Solution

Since sum of digits = 10 (which is not divisible by 3$)$ $\therefore$ No numbers can be formed.

Hence, the correct answer is option: 'D'.

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