Question

6. In a survey of 550 students in a school, it was found that 175 students when
drink milk, 300 students drink tea and 110 students drink both milk and
tea Find the number of students who drink neither milk nor tea.
Note:​

Answer 1

Step-by-step explanation:

$total \: no. \: of \: stuents \: = 550$

$no. \: of \: students \: drink \: milk \:$

$= 175 = n(a)$

$no. \: of \: students \: drink \: tea$

$= 300 = n(b)$

$no. \: of \: students \: drink \: both \: milk \: and \: tea \: = 110 = n(a \: and \: b \: )$

$no. \: of \: students \: drink \: either \: milk \: or \: tea \:$

$= n \: (a \: u \: b \: ) = n(a) + n(b) - n(a \: and \: b)$

$n(a \: u \: b \: ) = 175 + 300 - 110 = 375$

$no. \: of \: students \: drink \: nether \: tea \: or \: milk \:$

$= 500 - n(a \: u \: b \: ) = 550 - 375 = 125$