In a survey of 400 students in a school ,100 were listed as taking apple juice ,150 were listed as - Maths - Sets

Question

In a survey of 400 students in a school ,100 were listed as
taking apple juice ,150 were listed as taking orange juice and 75
were listed as taking both apple as well as orange juice Find how
many students were taking neither apple juice nor orange juice

Shri Agiwal · Accepted Answer

if no of apple juice taking are A , no of orange juice taking
are B
n(u) = 400 ; n(A) = 100 ; n(B) = 150 ; n(AnB) = 75
N(AuB) = n(A) + n(B) - n(AnB) = 100 + 150 - 75 = 175
no of students who took neither apple juice nor orange juice =
n(U) - n(AuB) = 400 - 175 =225
hope u got it

In a survey of 400 students in a school ,100 were listed as taking apple juice ,150 were listed as taking orange juice and 75 were listed as taking both apple as well as orange juice .Find how many students were taking neither apple juice nor orange juice.