FURTHER MATHEMATICS SSS1 FIRST TERM

WEEK 5

OPERATION OF  SET AND VENN DIAGRAMS

Contents

Use of Venn diagrams to solve problems involving three sets

Three Venn diagram:

Example: A school has 37 vacancies for teachers, out of which 22 are for English, 20 for History and 17 for Fine Art. Of these vacancies 11 are for both English and History, 8 for both History and Fine Art and 7 for English and Fine Art. Using a Venn diagram, find the number of teachers who must be able to teach:

(a.)    all the three subjects

(b.)    Fine Art only

(c.)    English and History but not Fine Art.

Solution:

Let µ = {All vacancies for teachers}