I have the following data as an example:
 basketball = c("MISS W. Johnson 18' Pullup Jump Shot",
                "MISS Barnes 12' Pullup Jump Shot",
                "MISS Carter  19' Pullup Jump Shot")
How do I find the most common words or 'intersect' them so that I will only have "MISS Pullup Jump Shot" as the result?
This works, but I'm not sure how robust it is given your question is a little vague.
Reduce(intersect, strsplit(basketball," "))
#[1] "MISS"   "Pullup" "Jump"   "Shot"
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