In a senior secondary school, there are 174 students in form 2. Of these, 86 play table tennis. 84 play football and 94 play volleyball, 30 play table tennis and volleyball, 34 play volleyball and football and 42 play table tennis and football. Each student plays at least one of the three games and x students play all three games.
(a) Display these facts in a Venn diagram
(b) Write down an equation in x and hence find x.
(c) If a student is chosen at random from form 2. what is the probability that he plays two games?