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3. Let I be the set of math instructors at EWU, C the set of MATH course numbers

ID: 3196851 • Letter: 3

Question

3. Let I be the set of math instructors at EWU, C the set of MATH course numbers, S the set of possible section numbers, T the set of possible starting times, and R the set of classrooms at EWU. Let M be the subset of 1 × C × S × T × R containing the following 5-tuples Instructor Cour Section Tim Room Dempsey 141 Dempsey 141 Dempsey161 Graham 142 Graham161 107 107 107 161 161 301 107 107 141 142 142 141 9:00 SNR 204 10:00 SNR 204 8:00 SNR 204 9:00 KGS 233 12:00 HAR 117 Noon Noon Noon Riggs Riggs Riggs Stuart Stuart Stuart Wehr Wehr Wehr 200 HAR 117 8:00 KGS 227 12:00 ISL 137 1:00 KGS 233 9:00 PAT 144 11:00 KGS 228 12:00 SNR 201 9:00 KGS 334 10:00 KGS 334 12:00 KGS 234 10:00 KGS 333 1:00 KGS 234 2:00 KGS 234 10 3 Display the table produced by applying the following projections to M a. 3 2,3,4 e. Find all composite keys of M consisting of only two fields

Explanation / Answer

For P3

Section

2

3

1

2

4

1

6

10

2

3

2

3

4

5

3

5

6

For P(1,2)

Instructor Course

Dempsey 141

Dempsey 141

Dempsey 161

Graham 142

Graham 161

Noon 107

Noon 107

Noon 107

Riggs 161

Riggs 161

Riggs 301

Stuart 107

Stuart 107

Stuart 141

Wehr 142

Wehr 142

Wehr 141

P1,5

Dempsey SNR 204

Dempsey SNR 204

Dempsey SNR 204

Graham KGS 233

Graham HAR 117

Noon KGS 227

Noon ISL 137

Noon KGS 233

Riggs PAT 144

Riggs KGS 228

Riggs SNR 201

Stuart KGS 334

Stuart KGS 334

Stuart KGS 234

Wehr KGS 333

Wehr KGS 234

Wehr KGS 234

P2,3,4

141 2 9:00

141 3 10:00

161 1 8:00

142 2 9:00

161 4 12:00

107 1 8:00

107 6 12:00

107 10 1:00

161 2 9:00

161 3 11:00

301 2 12:00

107 3 9:00

107 4 10:00

141 5 12:00

142 3 10:00

142 5 1:00

141 6 2:00

To find all composite keys of M consists of only two fields

Dempsey 141

Dempsey 141

Noon 107

Noon 107

Noon 107

Riggs 161

Riggs 161

Stuart 107

Stuart 107

Wehr 142

Wehr 142

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