Find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5 if no digit is repeated. How many of these will be even?

Explanation

To solve the problem of finding the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5 without repetition, and to determine how many of these numbers are even, we can follow these steps:

### Step 1: Calculate the total number of 4-digit numbers
We have 5 digits available: 1, 2, 3, 4, and 5. To form a 4-digit number, we can choose the digits as follows:

- For the first digit, we have 5 options (any of the 5 digits).
- After selecting the first digit, we have 4 remaining options for the second digit.
- After selecting the second digit, we have 3 remaining options for the third digit.
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