Is KARATE and BJJ a good combination?

I'm not pursuing a career in Martial Arts, but one of my life goals is to be a double black belt in a striking Martial Art and a Grappling Martial Art and Karate and BJJ are the best Martial Art Dojos in my are, the other "Martial Art" Dojos in my are are just cardio classes and YMCA Aikido, which fuck that.
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Is KARATE and BJJ a good combination?
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