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Discrete Mathematics
How many ways are there to choose a valid password of the computer system
Discrete Mathematics
How many ways are there to choose a valid password of the computer system
Discrete Mathematics
identify the steps that are used to find the compound proposition for the statement "Either it is below freezing or it is snowing, but it is not snowing if it is below freezing."
Discrete Mathematics
If kemi did not attend MTH 105 classes is (p), she will become angry (q). Kemi did not attend the class. Hence, she became angry. Write the statement symbolically.
Discrete Mathematics
Q.1) Proof the De Morgan’s Laws BY using truth table.
Discrete Mathematics
Let I(x) be the statement “x has an Internet connection” and C(x,y) be the statement “x and y have chatted over the Internet,” where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements.
a) Jerry does not have an Internet connection.
b) Rachel has not chatted over the Internet with Chelsea.
c) Jan and Sharon have never chatted over the Internet.
d) No one in the class has chatted with Bob.
e) Sanjay has chatted with everyone except Joseph.
f) Someone in your class does not have an Internet connection.
g) Not everyone in your class has an Internet connection.
h) Exactly one student in your class has an Internet connection.
i) Someone in your class has an Internet connection but has not chatted with anyone else in your class.
j) There are at least two students in your class who have not chatted with the same person in your class
a) Jerry does not have an Internet connection.
b) Rachel has not chatted over the Internet with Chelsea.
c) Jan and Sharon have never chatted over the Internet.
d) No one in the class has chatted with Bob.
e) Sanjay has chatted with everyone except Joseph.
f) Someone in your class does not have an Internet connection.
g) Not everyone in your class has an Internet connection.
h) Exactly one student in your class has an Internet connection.
i) Someone in your class has an Internet connection but has not chatted with anyone else in your class.
j) There are at least two students in your class who have not chatted with the same person in your class
Discrete Mathematics
1. Describe the characteristics of different binary operations that are performed on the same set.
2. Justify whether the given operations on relevant sets are binary operations or not.
i. Multiplication and Division on se of Natural numbers
ii. Subtraction and Addition on Set of Natural numbers
iii. Exponential operation: on Set of Natural numbers and set of Integers
2. Justify whether the given operations on relevant sets are binary operations or not.
i. Multiplication and Division on se of Natural numbers
ii. Subtraction and Addition on Set of Natural numbers
iii. Exponential operation: on Set of Natural numbers and set of Integers
Discrete Mathematics
Give four examples of implications and for each write down their contrapositive. Have two be real world examples and two be math examples.
Discrete Mathematics
Translate the following statements into symbolic form using capital letters to represent affirmative
Identify the main operator in the following propositions:
~[~(P & ~Q)] & ~(R –>~S)
~[~L v ~(J –> ~M)]
~[(H & ~L) & ~B] –> ~(~Y & ~K)
~[~(~F v J) v (~M v ~E)] & ~(~C & ~L)
Identify the main operator in the following propositions:
~[~(P & ~Q)] & ~(R –>~S)
~[~L v ~(J –> ~M)]
~[(H & ~L) & ~B] –> ~(~Y & ~K)
~[~(~F v J) v (~M v ~E)] & ~(~C & ~L)
Discrete Mathematics
A computer company receives 360 applications from computer graduates for a job planning a line of new Web servers. Suppose that 210 of these applicants majored in computer science, 147 majored in business and 51 majored in both subjects. How many of these applicants majored neither in computer science nor in business?
