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A survey of 100 students in an institution shows that 80 students speak Hausa and…

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: Option B
Explanation

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.

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