A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo?

A.

0

B.

9

C.

11

D.

20

Correct answer is B

Let the number of students that speak Hausa and Igbo be represented by H and I respectively.

n(H only) = 80 - 9 = 71.

n(I only) = 20 - 9 = 11.

n(neither H nor I) = 100 - (71 + 9 + 11)

= 100 - 91 = 9 students.