Question

The number of $5$ digit numbers (without repetition) using digits $0,1,2,3,4,5$ such that they are even

• A. $310$
• B. $340$
• C. $312$
• D. $320$

Answer 1

The correct option is C $312$

For number to be even last digit should be $0,2,4$
Now when last digit is $0$, then total number of numbers
$={}^5{P}_4=120$
Now when last digit is $2,4$, then total number of numbers
$=2\times 4\times 4\times 3\times 2=192$
So total numbers are $=120+192=312$