Question

If n(U) = 60, n(P) = 30, n(Q) = 20 and n(P∩Q)' = 50 then n(P∪Q) is-​

Answer 1

Answer:

Solution:

Step 1: Calculate Number of Elements in Set Q

Given- n(P)=40,n(P∩Q)=10,n(P∪Q)=60

By Formula-

n(P∪Q)=n(P)+n(Q)−n(P∩Q)

⇒60=40+n(Q)−10

⇒n(Q)=60−40−10

∴n(Q)=30

Thus, the Set Q has 30 Elements.