The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities to determine the number of elements in each of the other seven regions. n(U) = 44, n(A) = 20, n(B) = 18, n(C) = 20, n(ANB) = 11, n(ANC) = 10, n(BNC) = 6 There are 3 elements in region I. There are 7 elements in region II. There are elements in region III. I IV II V 4 VII VI B III VIII
The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities to determine the number of elements in each of the other seven regions. n(U) = 44, n(A) = 20, n(B) = 18, n(C) = 20, n(ANB) = 11, n(ANC) = 10, n(BNC) = 6 There are 3 elements in region I. There are 7 elements in region II. There are elements in region III. I IV II V 4 VII VI B III VIII
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Transcribed Image Text:The accompanying Venn diagram shows the number of elements in region V. Use the
given cardinalities to determine the number of elements in each of the other seven
regions.
n(U) = 44, n(A) = 20, n(B) = 18,
n(C) = 20, n(ANB) = 11,
n(ANC) = 10, n(BNC) = 6
There are 3 elements in region 1.
There are 7 elements in region II.
There are elements in region III.
xample
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