The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014). Northeast (N) Midwest (M) South (S) West (W) Total 2012 (A) 50 90 280 110 530 2013 (B) 60 100 330 130 620 2014 (C) 50 110 350 150 660 Total 160 300 960 390 1,810 Use symbols to describe the given set. the set of housing starts in 2013 excluding housing starts in the the Northeast A ∩ N'B ∪ N' A ∪ N'C ∩ N'B ∩ N' Compute its cardinality.
The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014). Northeast (N) Midwest (M) South (S) West (W) Total 2012 (A) 50 90 280 110 530 2013 (B) 60 100 330 130 620 2014 (C) 50 110 350 150 660 Total 160 300 960 390 1,810 Use symbols to describe the given set. the set of housing starts in 2013 excluding housing starts in the the Northeast A ∩ N'B ∪ N' A ∪ N'C ∩ N'B ∩ N' Compute its cardinality.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 16T
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The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014).
| Northeast (N) |
Midwest (M) |
South (S) |
West (W) |
Total | |
|---|---|---|---|---|---|
| 2012 (A) | 50 | 90 | 280 | 110 | 530 |
| 2013 (B) | 60 | 100 | 330 | 130 | 620 |
| 2014 (C) | 50 | 110 | 350 | 150 | 660 |
| Total | 160 | 300 | 960 | 390 | 1,810 |
Use symbols to describe the given set.
the set of housing starts in 2013 excluding housing starts in the the Northeast
A ∩ N'B ∪ N' A ∪ N'C ∩ N'B ∩ N'
Compute its cardinality.
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