Use TABLE 7 Logical Equivalences Involving Conditional Statements. For every of 9 statements prove its correctness. The last 10th question: How many ways are there to select three unordered elements from a set with five elements when repetition is allowed? Find the answer and give an explanation.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Use TABLE 7 Logical Equivalences Involving Conditional Statements. For every of 9 statements prove its correctness. The last 10th question: How many ways are there to select three unordered elements from a set with five elements when repetition is allowed? Find the answer and give an explanation.
TABLE 7 Logical Equivalences
Involving Conditional Statements.
P→q=pv q
P→q-q-p
pvq=P→q
p^q=(pq)
(p→q) = p^¬q
(p→q)^(p→r) = p → (q^r)
(p+r)^(sr) = (pvq) →r
(p→q)v (p→r) = p→ (qvr)
(pr)v(gr)=(p^q) →r
©2019 McGraw-Hill Education
TABL
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р
дет
Transcribed Image Text:TABLE 7 Logical Equivalences Involving Conditional Statements. P→q=pv q P→q-q-p pvq=P→q p^q=(pq) (p→q) = p^¬q (p→q)^(p→r) = p → (q^r) (p+r)^(sr) = (pvq) →r (p→q)v (p→r) = p→ (qvr) (pr)v(gr)=(p^q) →r ©2019 McGraw-Hill Education TABL Invol р дет
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