Question

How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?

Answer 1

There are 108 integers with 4-digits that are evenly divisible by 5.

Answer 2

100

Explanation:

If a number is divisible by 5, then the last digit is either 0 or 5.

Since all the digits are even, the last digit must be 0.

There are 4 options for the first digit (2, 4, 6, 8).

There are 5 options for the second digit (0, 2, 4, 6, 8).

There are 5 options for the third digit (0, 2, 4, 6, 8).

So the total number of numbers is:

4×5×5×1 = 100