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(m-1)n+1 persons. m mutual strangers or someone acquainted with n

caffeinemachine

Well-known member
MHB Math Scholar
Mar 10, 2012
834
Prove that in a room with $(m-1)n+1$ persons, there are $m$ mutual strangers or there is a person who is acquainted with $n$ persons.

Assume that any two persons are either mutually acquainted to each other or are mutually strangers to each other.