n(A∪B) =
Well, draw the diagram and label your sets with element counts.
That's a rectangle containing two separate circles.
You have 48 in circle A.
You have 48 + 43 in the entire rectangle (U).
From the basic identity
n(B) + n(B') = n(U)
You can derive n(B), completing your labels.
Now,
n(A∪B) = n(A) + n(B), since they're disjoint sets.
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Well, draw the diagram and label your sets with element counts.
That's a rectangle containing two separate circles.
You have 48 in circle A.
You have 48 + 43 in the entire rectangle (U).
From the basic identity
n(B) + n(B') = n(U)
You can derive n(B), completing your labels.
Now,
n(A∪B) = n(A) + n(B), since they're disjoint sets.