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. r
(c) If a student is chosen at random from
form 2. what is the probability that
he plays two games?