People who have been married: should a married woman wear both her engagement ring and wedding band after the wedding?

People who have been married: should a married woman wear both her engagement ring and wedding band after the wedding?

I had dinner with a colleague tonight and I mentioned buying wedding bands this coming week, as we are getting married on April 27. He made the statement that women no longer wear wedding bands and they choose to simply wear their engagement ring. My reaction was to tell him that this is the stupidest thing I have heard so far this year. To the best of my knowledge, women wear both their engagement ring AND their wedding band after they get married.

Obviously, there is no "law" on this subject and a woman is free to do what she wants so please don't tell me that she can do whatever she wants; I already know that. I am trying to determine what other married women do most commonly. Guys, if you have been married, please tell me what your wife does/did.

I've never been married
I am/was married, I only had an engagement ring and that's what I wore.
I am/was married, I only had a wedding band and that's what I wore.
I am/was married, I had an engagement ring and wedding band, but I usually only wore the engagement ring
I am/was married, I had an engagement ring and wedding band, but I usually only wore the wedding band
I am/was married, I had an engagement ring and wedding band, and I usually wore both the engagement ring and the wedding band
Something else that I'll explain in a comment
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Updates
4 mo
My post was not very clear. My fiancee and I are getting married in April. The two of us had dinner with a colleague and his girlfriend, and he is the one who made the comments to me, telling me that I don't need to bother with buying my fiancee a wedding band because she'll never wear it.
People who have been married: should a married woman wear both her engagement ring and wedding band after the wedding?
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