SOLUTION: Need help:Use a Venn Diagram and the given information to determine the number of elements in the indicated set. n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(

Algebra ->  Probability-and-statistics -> SOLUTION: Need help:Use a Venn Diagram and the given information to determine the number of elements in the indicated set. n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(      Log On


   

Question 202070: Need help:Use a Venn Diagram and the given information to determine the number of elements in the indicated set.
n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(A u B)'.
A) 42
B) 27
C) 18
D) 33
Found 2 solutions by user_dude2008, stanbon:
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
n(A u B)' = n(U) - n(A u B)

n(A u B)' = n(U) - [n(A) + n(B) - n(A ∩ B) ]

n(A u B)' = 60 - [26 + 16 - 9]

n(A u B)' = 60 - 33

n(A u B)' = 27

Answer: B) 27

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use a Venn Diagram and the given information to determine the number of elements in the indicated set.
n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(A u B)'.
A) 42
B) 27
C) 18
D) 33
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Draw a rectamgle with two intersecting circles inside lablel A and B.
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Put the number "9" in the intersection.
Put 26-9 = 17 in the part of A that does not include the intersection with B.
Put 16-9 = 7 in the part of B that does not include the intersection with A.
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The A U B has 7 + 9 + 17 = 33 elements.
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Cheers,
Stan H.