At a conference the 100 delegates were asked to rank three possible menus (A, B and C) in order of preference for dinner. All of the delegates completed this ranking.

55 ranked A above B; 65 ranked B above C; 35 ranked C above A. B was ranked first by 40 delegates.

30 delegates ranked A third.

Deduce the number of delegates who chose each of the other five possible orders of preference.