How many two digit even number of distinct digits can be formed with the digits 1,2,3,4,5?

Explanation

Two digit even numbers of distinct digits are to be formed with the digits 1,2,3,4,5. Here the even numbers must be end with 2 or 4. When 2 is placed in the unit place, the tenth place can be filled up by other 4 digits in 4 different ways. Similarly, when 4 is placed in the unit place, the tenth place can be filled up in 4 different ways.
`:.` The total number of two digit even numbers` =4+4=8.`