Question

1. If n(AUB) = 60, n(A) = 36, n(B) = 29, find n(An B).
2. If n(A) = 50, n(A U B) = 70, n(A n B) = 20, find n(B).​

Answer 1

Step-by-step explanation:

1. n(AUB)=60 n(A)=36 n(B)=29 n(A)+n(B)=36+29=65 Equation= n(AUB)=n(A)+n(B)_n(AറB) 60=36+29_(AറB) That is 60=65_(AറB) (AറB)=65_60=5. Therefore (AറB)=5. 2. n(A)=50. n(AUB)=70. n(AറB)=20. n(B)= ? n(AUB)=n(A)+n(B)_n(AറB) That is. 70=50+n(B)_20. 70=30+n(B) So n(B)=70_30=40. n(B)=40