Q194 / 270 · NDA 2015 (Phase 2) · Mathematics

The number of 3-digit even numbers that can be formed from the digits $0,1,2,3,4$ and 5 , repetition of digits being not allowed, is

  • A
    60
  • B
    56
  • Correct answer
    C
    52
  • D
    48

Solution

No. of digits to be filled at one's place $=3$ No. of digits to be filled at 10 's place $=5$ No. of digits to be filled at 100 's place $=4$ $\therefore$ Total no. of digits formed $=3 \times 5 \times 4=60$ If zero is at 100 's place; Then; no. of digits to be filled at one's place $=2$ $\&$ no. of digits to be filled at 10 's place $=4$ $\therefore$ No. of digits formed with zero at 100 's place $=1 \times 2 \times 4=8$ $\therefore$ Required no. of digits formed $=60-8=52$.

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

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