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
- A60
- B56
- Correct answerC52
- D48
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'.