Question

In a certain examination 52 candidates offered biology 60 history 96 maths 21 biology and history 22 maths and biology if seven offered all 3 subject. How many candidates where there for the examination

Answer 1

candidates for the examination = 151

Explanation:

candidates offered biology = 52

candidates offered history = 60

candidates offered mathematics = 96

candidates offered biology and history = 21

candidates offered mathematics and biology = 22

candidates offered all 3 subjects = 7

candidates offered biology = 52 - 21 - 22 - 7 = 2

candidates offered history = 60 - 21 - 7 = 32

candidates offered mathematics = 96 - 22 - 7 = 67

thus,

total candidates for the examination = 21 + 22 + 7 + 2 + 32 + 37 = 151