odd couple
see under strange bedfellows.
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The American Heritage® Idioms Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
Examples from the Web for odd couple
Contemporary Examples
This is the storyline of Almost Human, Fox and J.J. Abrams's odd-couple police drama.
On the surface it is an odd-couple pairing: the University of Montana Democrat and the Oxford-educated Conservative.