Question

Ia a certain exam 52 candidates offer biology 60 offer history 96 offer maths 21 offer both biology and history 22 offer maths and bio and 16 offer maths and history if 7 candidates offer all 3 subject how many candidates offer one subject only

Answer 1

156 students

Explanation:

From the above question:

The formula for the number of students offering only one subject is given as:

n(Biology OR History OR Mathematics) =n(Biology) + n(History) +n(Mathematics) - n(History and Biology) - n(History and Mathematics) - n(Biology and Mathematics) + n(Biology and History and Mathematics)

= (52+60+96)-(21+22+16)+(7)

= 208 - 59 + 7

= 156 students