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) “Nether Ahmad nor Salim come to the party". b) “If Bader comes to the party, then Salim and Khalid come too". c) "Khalid comes to the party only if Ahmad and Salim do not come". d) “Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". e) “If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". f) “Khalid comes to the party provided that Bader doesn't come, but, if Bader comes, then Salim doesn't come". g) "A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". h) “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)
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...
icon
Related questions
Question
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) "Nether Ahmad nor Salim come to the party".
b) "If Bader comes to the party, then Salim and Khalid come too".
c) "Khalid comes to the party only if Ahmad and Salim do not come".
d) “Bader comes to the party if and only if Khalid comes and Ahmad doesn't
come".
e) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad
comes".
f) "Khalid comes
comes, then Salim doesn't come".
g) "A necessary condition for Ahmad coming to the party is that, if Salim and
Khalid aren't coming, Bader comes".
h) “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".
the party provided that Bader doesn't come, but, if Bader
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) "Nether Ahmad nor Salim come to the party". b) "If Bader comes to the party, then Salim and Khalid come too". c) "Khalid comes to the party only if Ahmad and Salim do not come". d) “Bader comes to the party if and only if Khalid comes and Ahmad doesn't come". e) "If Bader comes to the party, then, if Khalid doesn't come then Ahmad comes". f) "Khalid comes comes, then Salim doesn't come". g) "A necessary condition for Ahmad coming to the party is that, if Salim and Khalid aren't coming, Bader comes". h) “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". the party provided that Bader doesn't come, but, if Bader
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON