Question

How many even numbers of $3$ different digits can be formed from the digits $1,2,3,4,5,6,7,8,9$

• A. $224$
• B. $280$
• C. $324$
• D. none of these

Answer 1

The correct option is A $224$

Number of even number of $3$ different digits formed from the digits $1,2,3,4,5,6,7,8,9$.

$\mathrm{7.8.}\left(4\right)$

Number of the option for units place $=4(2,4,6$ or $8)$

Number of option for ten's place $=8$(any of the remaining $8$)

Number of option for hundred's place $=7$(any of the remaining $7$)

Total no.of even numbers can be formed ($3$ digits)

$=4\times 8\times 7$

$=224$.