When planning a party you want to know whom to invite. Among the people you would like to invite are three touchy friends.You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will attend only if Kanti will be there, and Kanti will not attend unless Jasmine also does.Which combinations of these three friends can you invite so as not to make someone unhappy? Exercises relate to inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, and . Determine, if possible, what and are if they address you in the ways described. If you cannot determine what these two people are, can you draw any conclusions?
There are just two options: Jasmine and Kanti together or Jasmine by alone.
In response to such directions, truth-tellers frequently supply more comprehensive information in order to show their innocence. Liars, on the other hand, want to keep their mistakes hidden.
From the given data,
To provide advice on which combinations and three Mends you should invite so that no one is disappointed.
It is necessary to create a mix in which no one is dissatisfied.
The statement is,
Jasmine attends the party
Samir attends the party
Kanti attends the party
From the truth table,
If Jasmine is willing to come. If Samir is present, she will be displeased
If Samir is present, he will only participate if Kanti is also there
Kanti won't show up till Jasmine arrives
Thus, there are just two options: Jasmine and Kanti together or Jasmine by alone.
Let and be the statements “x is a duck,” “x is one of my poultry,” “x is an officer,” and “x is willing to waltz,” respectively. Express each of these statements using quantifiers; logical connectives; and and .
(a) No ducks are willing to waltz.
(b) No officers ever decline to waltz.
(c) All my poultry are ducks.
(d) My poultry are not officers.
(e) Does (d) follow from (a), (b), and (c)? If not, is there a correct conclusion?
For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer a) Coffee or tea comes with dinner. b) A password must have at least three digits or be at least eight characters long. c) The prerequisite for the course is a course in number theory or a course in cryptography. d) You can pay using U.S. dollars or euros
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