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.
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