Using the digits 1, 2, 3, 4, 5, how many even three-digit numbers less than 500 can be formed if each digit can be used at most once?
Even numbers must end in 2 or 4
first number must be 1 2 3 or 4
ends in 4 x y 4 x = 3 choices y = 3 3*3 = 9 choices
ends in 2 x y 2 x = 3 choices y = 3 3*3 = 9 choices 18 even numbers between 100- 500