In a certain examination 52 candidate offered biology 60 candidate offered history and 96 offered mathematics.if 21candidate offered biology and history 22 candidate offered history and mathematics 17 candidate offered all three subject. Draw a vanies diagram to illustrate these information and (a) how many candidate sat for the examination ?(b) how many candidate offered only one subject? (c) how many candidate offered two subject?

Answer 1

The Venn diagram has three big circles. In the very center of the circles is the 17 that took all three.
Remember to subtract the 17 when you make the numbers inside the arcs of where the circle hits. For example... inside the section where 22 were offered history and mathematics. The two numbers would be the 17, then only 5 that have both history and mathematics (as 22 - 17 = 5)
Continue in that manner around the circles : )

Answer 2

The History only section of the circle is 60 - 4 - 17 - 5 which is 34
The 60 minus the pieces that are shared with other subjects : )