In a class of 140 students, 16 students do not participate in any of the quiz and Ashu competitions. 70 students participate in the quiz and 77 students take part in the Ashu competition. How many students participate in both the quiz and Ashu competition activities?
In a class of 140 students, 16 students do not participate in any of the quiz and Ashu competitions. 70 students participate in the quiz and 77 students take part in the Ashu competition. How many students participate in both the quiz and Ashu competition activities? Correct Answer 23
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(U) = 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 U A)
Now;
n(QUA) = 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.