If A = {a, b, c, d) and B = {c, d, e, f, g}, then n(A U B) = n({a, b, c, d, e, f, g}) = 7, n(A) = 4, n(B) = 5, and n(AN B) = n(c, d) = 2. Since 7=4+5- 2, this suggests that n(A U B) = n(A) + n(B) – n(A n B). Use Venn diagrams to justify this formula for arbitrary finite sets A and B. OA. n(AUB) B n(AUB) OB. n(AUB) A B n(AnB)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Oc.
n(AUB)
A
в
n(AnB)
OD.
n(AUB)
A
в
n(AnB)
Transcribed Image Text:Oc. n(AUB) A в n(AnB) OD. n(AUB) A в n(AnB)
If A = {a, b, c, d) and B = {c, d, e, f, g}, then n(A U B) = n({a, b, c, d, e, f, g}) = 7, n(A) = 4, n(B) = 5, and n(AN B) = n(c, d) = 2. Since 7=4+5- 2, this suggests that n(A U B) = n(A) + n(B) – n(A n B). Use Venn diagrams to
justify this formula for arbitrary finite sets A and B.
OA.
n(AUB)
B
n(AUB)
OB.
n(AUB)
A B
n(AnB)
Transcribed Image Text:If A = {a, b, c, d) and B = {c, d, e, f, g}, then n(A U B) = n({a, b, c, d, e, f, g}) = 7, n(A) = 4, n(B) = 5, and n(AN B) = n(c, d) = 2. Since 7=4+5- 2, this suggests that n(A U B) = n(A) + n(B) – n(A n B). Use Venn diagrams to justify this formula for arbitrary finite sets A and B. OA. n(AUB) B n(AUB) OB. n(AUB) A B n(AnB)
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