Strength and compassion are not mutually exclusive.

Being a defense hawk and a budget hawk are not mutually exclusive.

Praising the Lord and passing the ammunition are mutually exclusive ideas.

A woman can be seeking attention and also make a statement.They don't need to be mutually exclusive.

To me, being a black woman and being beautiful are not mutually exclusive.

It seems that two of the most basic forms of comedy are jokes and stories. And, of course, they are not mutually exclusive.