Question

Let P and Q be two sets such that n(PU Q) = 70, n(P) = 45 and n(Q) = 38. Draw a venn diagram and find : (i) n(
P intersection Q) (ii) n(P-Q) (iii) n(Q-P).
​

Answer 1

Answer:

(i)13

(ii)32

(iii)57

Step-by-step explanation:

(i)n(PnQ)=n(P)+n(Q)-n(PUQ)

=45+38-70

=83-70=13

(ii)n(P-Q)=n(P)-n(PnQ)

=45-13=32

(iii)n(Q-P)=n(Q)-n(PnQ)

=70-13=57