Question

In a group of 50 person , 14drink tea but not coffee and 30 drink tea . Find

i) how many drink tea and coffee both

ii)how many drink coffee but not tea

Answer 1

Total number of person in ggroup$=50$

Number of person who drink tea only$=14$

Number of person who drink tea$=30$

$i)$ Number of person who drive tea &coffee$=30-14=16$

$ii)$ Number of person who drink coffee

$50=n\left(A\right)+n\left(B\right)-n(A\cap B)50=30+n\left(B\right)-16n\left(B\right)=26$

$\therefore$ Number of person who drink coffee only$=26-16=10$.