+0

# help counting

0
77
1

How many even, three-digit positive integers have the property that exactly two of the integer's digits are even?

Apr 16, 2022

#1
+2437
+1

There are 2 cases to consider:

Even - Odd - Even

Odd - Even - Even

For the first case, there are $$4 \times 5 \times 5 = 100$$ numbers. (Remember, the leading digit can't be 0!!)

For the second case, there are $$5 \times 5 \times 5 = 125$$ numbers.

Thus, there are a total of $$100 + 125 = \color{brown}\boxed{225}$$ numbers that meet these criteria.

Apr 16, 2022