of a group of 120 students, 90 take mathematics and 72 take economic if 10 students take neither of - Maths - Sets

Question

of a group of 120 students, 90 take mathematics and 72 take
economic if 10 students take neither of two how many take both?

Garima Singhal · Accepted Answer

Let n(A)= number of students taking mathematics=90n(B)= number of students taking economics=72n(A∪B)= number of students taking at least one subject=120 - 10 = 110n(A∩B)= number of students taking both subjects=?Now, n(A∪B)=nA+nB-nA∩B110=90+72-nA∩B nA∩B=52

of a group of 120 students, 90 take mathematics and 72 take economic. if 10 students take neither of two. how many take both?