How many four digit numbers divisible by 4 can be made with the digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?

Explanation

To solve the problem of finding how many four-digit numbers divisible by 4 can be made with the digits 1, 2, 3, 4, and 5 without repetition, we can follow these steps:

### Step 1: Understand the divisibility rule for 4
A number is divisible by 4 if the number formed by its last two digits is divisible by 4. Therefore, we need to identify all the pairs of digits from our set that can form a two-digit number divisible by 4.

### Step 2: Identify valid pairs of digits
We will check each combination of the digits 1, 2, 3, 4, and 5 to see which pairs form numbers divisible by 4:

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