Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
How many -digit even numbers can be made from the digits , , , , and , if no digit is used twice?
If a task can be done in ways or in other ways, with no way in both, it can be done in ways. Stages one after another multiply; separate cases add. Fill a place that has a rule first.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Units digit . The other three places use digits: .
Step 2. Units digit or . That is ways. The first digit cannot be or the units digit: ways. Then and ways for the middle places. So .
Step 3. Add. .
Answer: even numbers.
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