What is the difference between exception and exemption? [duplicate]

This has been asked before but apparently the thread is shut down. I did review this question at:

What is the difference between "exemption" and "exception"?

However, what about when someone says, "I will make an exception for ....". They don't say they will make an exemption which this thread implies would the correct use. Example:

"I normally charge $20 to get in, but I will make an exception for you since you are so nice."

Solution 1:

An exception is when a certain situation is somehow different than the normal rule.

An exemption is a case when some rule doesn't apply at all.

For example, let's say that tuition to a school normally costs $5000.

• If you have a hardship and can't afford the full price, the school might make an exception and let you pay what you can afford, say $500. This is an exception, but not an exemption, because you still pay something.

• But if you are the child of a professor, you might get an exemption from tuition and pay nothing.

Solution 2:

A useful way to looking at this is:

An exception may not be an exemption.

An exemption is an variation of normal precedence, rules or law, allowed by such. An exception is a violation of normal precedence, rules or law, which is not usual or codified.

Should a business have established procedures for pricing goods and services, with no allowance for any variation, then they are making an exception by offering a price outside those usual procedures for pricing. It is an exception, as their rules do not allow for any exemption.

However, should a business offer an "exception" it might be an "exemption". Businesses are not much tied to any "Rules of English". There may be internal codified exemptions that are not explained to customers.

I think we will do well to be concerned that we use the words exemption and exception as best we can, and perhaps not be too concerned how others may use them.