Find the member of 4-digit numbers that can be formed using the digits 2,3,5,6,8 (without repetition). How many of them are
divisible by 2

Explanation

The number of 4-digit numbers that can be formed using the 5 digits 2,3,5,6,8 is `""^(5)P_(4)=120`
Divisible by 2: For a number to be divisible by 2, the units place should be filled with an even digit. This can be done in 3 ways (2 or 6 or 8).

Now, the remaining 3 places can be filled with the remaining 4 digits in `""^(4)P_(3)=24` ways.
Hence the number of 4- digit numbers divisible by 2 is `3xx24=72`,