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Q-1: Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim comes to the party", R: "Khalid comes to the party", S: "Bader comes to the party"., Write the following propositions using P, Q, R,S and logical connectives: a) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". b) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". c) "Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". d) "A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". e) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't come, but, if neither Ahmad nor Salim come, then Bader comes only if Khalid comes".

Q-1: Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim comes to the party", R: "Khalid comes to the party", S: "Bader comes to the party"., Write the following propositions using P, Q, R,S and logical connectives: a) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". b) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". c) "Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". d) "A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". e) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't come, but, if neither Ahmad nor Salim come, then Bader comes only if Khalid comes".

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q-1: Let P, Q, R and S be the propositions: P: “Ahmad comes to the party", Q: “Salim comes to the party", R: “Khalid comes to the party", S: "Bader comes to the party". Write the following propositions using P, Q, R,S and logical connectives: a) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". b) “If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". c) "Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". d) “A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". e) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't come, but, if neither Ahmad nor Salim come, then Bader comes only if Khalid comes".
Transcribed Image Text:Q-1: Let P, Q, R and S be the propositions: P: “Ahmad comes to the party", Q: “Salim comes to the party", R: “Khalid comes to the party", S: "Bader comes to the party". Write the following propositions using P, Q, R,S and logical connectives: a) "Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". b) “If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". c) "Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". d) “A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". e) "Ahmad, Salim and Khalid come to the party if and only if Bader doesn't come, but, if neither Ahmad nor Salim come, then Bader comes only if Khalid comes".
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