Explore Discrete Math Examples

xy'ln(y/x)=x+yln(y/x)find general solution of the homogenous equation

Out of forty students, 14 are taking Numerical and 29 are taking Discrete Math.
(Note: Show your solutions)
1.If five students are in both classes, how many students are in neither class?
2.How many are in either class?
3.How many students from this group are taking only the Discrete Math class?

2.Construct the Hasse diagram that representing the Partial Ordering on {(a, b)| a divides b} on {1, 2, 3, 4, 6, 8, 12}.

Discrete Math:
2. Rolling 3 regular dice (unbiased), what is the probability to cast a sum of 10 ?

discrete math
Transcribed Image Text 3) Let U = {ne N:ns 200}, find the number of elements of U that are divisible by 2, 3, or 5.

1500 college freshmen were interviewed regarding what subject to will be enrolling for the second semester. It was found out that 850 students will be enrolling in Discrete Math while 700 are willing to enroll in Programming. It was also noted that 500 will be enrolled in Discrete Math and Programming.
You may use Venn diagram to analyze the problem.
How many students will confirm in NEITHER for Discrete Math NOR Programming?

SUBJECT: MATHEMATICS OF THE MODERN WORLD/ MATHEMATICS
INSTRUCTION: CHOOSE THE LETTER OF THE CORRECT ANSWER.
1. A type of mathematics which deals on quantity and spaces and its underlying principles.
A. applied mathematics
B. Pure mathematics
C. simplified mathematics
D. Discreet mathematics

Closed from of the sequence 1,1,3,5,11,21,43?

If x, y, and z are natural numbers, how many solutions are there to ${\displaystyle x+y+z=25}$?

A guest at a formal dinner has 4 entrée choices and 2 dessert choices. Ifa guests

A State University’s Mathematics Department ollers three courses: Calculus Linear Algebra, and Discrete Mathematics, and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 5000 students who would like to take a course, and there are 60 teaching assistants to teach them. Sections of Calculus have 200 students each, sections of Discrete Mathematics have 100 students each, and sections of Linear Algebra have 50 students each. Calculus sections are taught by a team of 2 teaching assistants, while Discrete Mathematics and Linear Algebra need only 1 teaching assistant per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed to, accommodate all of the students, and give one teaching assignment to each teaching assistant?

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B. a) the set of sophomores taking discrete mathematics in your school b) the set of sophomores at your school who are not taking discrete mathematics c) the set of students at your school who either are sophomores or are taking discrete mathematics

4. Restate each proposition in the form ${\displaystyle p\to q}$. A. Joey will pass the symbolic logic exam if he studies hard. B. A sufficient condition for Katrina to take the algorithms course is that she pass discrete mathematics. C. A necessary condition for Fernando to buy a computer is that he obtain $2000. D. When better cars are built, Toyota will build them. E. The program is readable only if it is well structured.

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B. the set of students at your school who either are not sophomores or are not taking discrete mathematics Use the symbols: ∩ ∪

Use symbols to write the logical form of the following arguments. If valid, iden— tify the rule of inference that guarantees its validity. Otherwise, state whether the converse or the inverse error has been made. If you study hard for your discrete math final you will get an A. Jane got an A on her discrete math final. Therefore, .lane must have studied hard.

In a survey of X university students, 64 had taken Discrete mathematics course, 94 had taken Object Oriented Programming course, 58 had taken Digital Logic course, 28 had taken Discrete Mathematics and Digital Logic , 26 had taken Discrete Mathematics and Object Oriented Programming, 22 had taken Object Oriented Programming and Digital Logic course, and 14 had taken all the three courses. Find how many had taken one course only.

Function Relation (Discrete math)
Let ${\displaystyle A=\{0,1,2\}}$ and ${\displaystyle r=\{(0,0),(1,1),(2,2)\}}$
Show that r is an equivalence relation on A.

Find the number of edges in a circulant graph Circ${\displaystyle [n,\{k,l\}]}$. In mathematica you can explore these graphs by using the comand CirculantGraph ${\displaystyle [n,\{k,l\}}$.

Let ${\displaystyle A_2}$ be the set of all multiples of 2 except for 2. Let ${\displaystyle A_3}$ be the set of all multiples of 3 except for 3. And so on, so that ${\displaystyle A_n}$ is the set of all multiples of n except for n, for any ${\displaystyle n\ge 2}$. Describe (in words) the set ${\displaystyle \overline{A_2\cup A_3\cup A_4\cup \cdots }}$