The universal set $U=$ {$x:x$ is a letter in 'AN EXCELLENT BOOK'}

$P=$ {$x:x$ is a letter in word 'TALENT'}

$Q=$ {$x:x$ is a letter in the word 'BANANA'}
Draw the Venn diagram and find the following:

(i) $P\cup Q$

(ii) ${\left(P\cap Q\right)}^{\text{'}}$

(i) $n\left(B\right)$,

(ii) $n\left(B-A\right)$

(i) $A\cap \left(B\cup C\right)$

(ii) ${\left[\left(A\cup B\right)\cap C\right]}^{\text{'}}$

$A=${$x:x$ is a prime number}

$B=${$x: x$ is an even number}

Then verify, the following

(i) ${\left(A\cap B\right)}^{\text{'}}=A^{\text{'}}\cup B^{\text{'}}$

(ii) $A^{\text{'}}-B^{\text{'}}=B-A$

(i) $A-B$

(ii) $B^{\text{'}}$

(iii) $A^{\text{'}}$

(i) How many drink coffee.

(ii) How many drink coffee, but not tea.

In a group of $450$ people, $200$ speak Hindi only and $180$ speak English only. If each person speak at least one language then,

(i) How many can speak English?

(ii) How many can speak Hindi?

(iii) How many can speak both English and Hindi?