Question 50
In a party of eight persons, each pair of persons either know each other or do not know each other. Each person knows exactly three of the other people.
Is the following situation possible: (i) no three persons know each other but (ii) there are no four persons such that no two of these know each other?
Is the following situation possible: (i) no three persons know each other but (ii) there are no four persons such that no two of these know each other?