Total student = 140 Students do not take part in any of the quiz and Ashu competitions = 16 Students who take part in Quiz and Ashu completion n(∪) = 140 - 16 = 124 Students take part in Quiz n(Q) = 70 Students take part in Ashu competitions n(A) = 77 Students participate in both the quiz and Ashu competition = n(Q ∪ A) Now; n(Q∪A) = n(Q) + n(A) - n(Q∩A) 124 = 70 + 77 - (Q∩A) (Q∩A) = 147 - 124 (Q∩A) = 23 Hence, Students participate in both the quiz and Ashu competition is 23.