Karen Morrison and Nick Hamshaw Solutions for Exercise 7: Exercise 9.7

Draw Venn diagram and shade the given set:

$A\cup B\cup C$

Draw Venn diagram and shade the given set:

$A\cup B\text{'}$

Draw Venn diagram and shade the given set:

$A\cap \left(B\cup C\right)$

Draw Venn diagram and shade the given set:

$\left(A\cup B\right)\cap C$

Draw Venn diagram and shade the given set:

$A\cup \left(B\cup C\right)\text{'}$

Draw Venn diagram and shade the given set:

$\left(A\cap C\right)\cup \left(A\cap B\right)$

In a class of $30$ students, $22$ like classical music and $12$ like Jazz, $5$ like neither, Using a Venn diagram find out how many students like both classical  and Jazz music.

Students in their last year at a school must study at least one of the three main sciences: Biology, Chemistry and Physics. There are $180$ students in the last year, of whom $84$ study Biology and Chemistry only, $72$ study Chemistry and Physics only and $81$ study Biology and Physics only . $22$ pupils study only Biology, $21$ study only Chemistry and $20$ study only Physics. Use Venn diagram to work out how many students study all three sciences.