Stocks Exercises 49–54 are based on the following table, which shows the stock market performance of 40 industries from five sectors of the U.S. economy as of noon on September 11, 2015.^{9} (Take S to be the set of all 40 industries represented in the table.)
Increased

Decreased

Unchanged

Totals  
Financials

3  4  1  8 
Manufacturing

8  3  3  14 
Information Technology

6  1  0  7 
Health Care

4  1  1  6 
Utilities

3  1  1  5 
Totals  24  10  6  40 
Compute
To calculate: The value of
Increased (X) 
Decreased (Y) 
Unchanged (Z) 
Total 

Financials (F) 
3 
4 
1 
8 
Manufacturing (M) 
8 
3 
3 
14 
Information Technology (T) 
6 
1 
0 
7 
Health Care (H) 
4 
1 
1 
6 
Utilities (U) 
3 
1 
1 
5 
Total 
24 
10 
6 
40 
Given Information:
The following table shows the stock market performance of 40 industries from five sectors of the U.S economy as of noon on September 11, 2015, with S as the set of all 40 industries,
Increased (X) 
Decreased (Y) 
Unchanged (Z) 
Total 

Financials (F) 
3 
4 
1 
8 
Manufacturing (M) 
8 
3 
3 
14 
Information Technology (T) 
6 
1 
0 
7 
Health Care (H) 
4 
1 
1 
6 
Utilities (U) 
3 
1 
1 
5 
Total 
24 
10 
6 
40 
Formula used:
If A is a finite set, then its cardinality is
Calculation:
Consider the provided table,
Increased (X) 
Decreased (Y) 
Unchanged (Z) 
Total 

Financials (F) 
3 
4 
1 
8 
Manufacturing (M) 
8 
3 
3 
14 
Information Technology (T) 
6 
1 
0 
7 
Health Care (H) 
4 
1 
1 
6 
Utilities (U) 
3 
1 
1 
5 
Total 
24 
10 
6 
40 
The set X represents the increased stock market performance. The set Y represents the decreased stock market performance. The set Z represents the unchanged stock market performance. The set F represents the Financials stock market performance. The set M represents the Manufacturing stock market performance. The set T represents the Information Technology stock market performance. The set H represents the Health Care stock market performance. The set U represents the Utilities stock market performance.
Reconstruct the table using symbols for sets,
Increased (X) 
Decreased (Y) 
Unchanged (Z) 
Total 

Financials (F) 

Manufacturing (M) 
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