An exam consisting of six questions is sat by 2006 children.
Each question is marked either right or wrong. Any three children have right answers to at least five of the six questions between them.
Let N be the total number of right answers achieved by all the children (i.e. the total number of questions solved by child 1 + the total solved by child 2 + · · · + the total solved by child 2006).
Find the least possible value of N.
Each question is marked either right or wrong. Any three children have right answers to at least five of the six questions between them.
Let N be the total number of right answers achieved by all the children (i.e. the total number of questions solved by child 1 + the total solved by child 2 + · · · + the total solved by child 2006).
Find the least possible value of N.