In a class of 40 students, 25 speak Hausa, 16 speak Igbo, 21 speak Yoruba and each of the students speak at least one of the these three languages. If 8 speak Hausa and Igbo, 11 speak Hausa and Yoruba and 6 speak Igbo and Yoruba. (a) Draw a Venn diagram to illustrate the information, using x to represent the number of students that speak all three languages. (b) calculate the value of x.
Explanation
(a) The number that speak Hausa = n(H) = 25 The number that speak Igbo = n(I) = 16 The number that speak Yoruba = n(Y) = 21 Total no of students = U = 40
