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"Prove that there exist 4 people in the waiting room who all know each other..."

This is a part of a math problem. Should the "exist" be "exists" or is it correct the way it currently is?

user353133
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1 Answers1

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It is correct as is. This is easier to see if you rephrase the statement and put the subject ("four people") first:

"Four people exist in the waiting room who all know each other."

as opposed to

"Four people exists in the waiting room who all know each other."

JDM-GBG
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