Non-lawyers tend to think of these as separate categories. You often hear something like “I wasn’t dismissed – I was made redundant.” But from the point of view of employment law, if you are made redundant, you have been dismissed. Redundancy is just one of a range of possible reasons for dismissal.
The reason it’s worth mentioning this mistake – especially in current circumstances – is that it could lead you to think that if you’ve been made redundant, you can’t complain of unfair dismissal. That would be wrong. If your employer has acted unfairly in selecting you for redundancy, you are entitled to complain to an employment tribunal about it.