The number of 3-digit even numbers that can be formed from the...

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 $=60-8=52$.