The word "wit" is similar to the word "humor" except that wit is dependent on intellect to make people laugh or provide amusement.
Audiences are attracted by a comedian’s humor and wit.
The speaker’s remarks were laced with wit and sarcasm.
She knows how to use wit to support her arguments.
Garrison Keillor is known for his brilliant wit.
Brevity is the soul of wit. (This is a well-known proverb.)
The comic surprised his audience with his dry wit.
The word "witty" is an adjective:
The woman made a very witty remark.
That’s a very witty expression.
How witty!
That’s so witty.
We love that TV show because the host is so witty.
The man likes to think he’s witty, but he really lacks an understanding of wit.
You can also use the word "wit" when referring to a person’s ability to think through difficult situations. (In this case the word "wit" is always plural: wits.)
You really have to have your wits about you when traveling to a foreign country.
After being a teacher for 40 years, the old man lost his wits.
You have to use your wits to figure out what to do.
I’m at my wits’ end. (This is an expression. It means that you are very frustrated with a situation or a person.)
He gets by on his wits. (He does well because he’s smart.)