In a gathering of 30 people, there are 104 different pairs of people who know each other.
(a.) Show that some person must have at least seven acquaintances.
(b.) Show that some person must have fewer than seven acquaintances.
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In a gathering of 30 people, there are 104 different pairs of people who know each other.
(a.) Show that some person must have at least seven acquaintances.
(b.) Show that some person must have fewer than seven acquaintances.