Do men not approach women they think are out of their leagues?

I was discussing with one of my coworkers regarding women asking men out. He told me most men want women to ask them out because they are terrified of rejection. Do you think this is true? Will men not ask women out if they think she is too good for them or if they think they have a high chance of being rejected? Or will they just go for it, anyways?

Do men not approach women they think are out of their leagues?
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