In how many ways can a subsets of 3 elements be formed from 100 elements?

Emmanuel Arkoh
2022-07-19

In how many ways can a subsets of 3 elements be formed from 100 elements?

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asked 2021-07-28

Let A, B, and C be sets. Show that

asked 2021-08-18

Discrete Mathematics Basics

1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where$(a,b)\in R$ if and only if

I) everyone who has visited Web page a has also visited Web page b.

II) there are no common links found on both Web page a and Web page b.

III) there is at least one common link on Web page a and Web page b.

1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where

I) everyone who has visited Web page a has also visited Web page b.

II) there are no common links found on both Web page a and Web page b.

III) there is at least one common link on Web page a and Web page b.

asked 2021-08-15

How many elements are in the set
{ 0, { { 0 } }?

asked 2021-08-02

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

Use these symbols:$\cap \cup$

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

Use these symbols:

asked 2022-01-30

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

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

asked 2022-06-09

Solving a problem using the Pigeonhole principle

How do I use the Pigeonhole principle to show that in a class of 25 students where every student is either a sophomore, freshman or a junior there are at least 9 sophomores or 9 seniors or 9 juniors ?

My solution: Assume by contradiction that there are 8 sophomores, 8 freshman and 8 juniors then $8+8+8=24\ne 25$ thus by contradiction there are at least 9 sophomores or 9 seniors or 9 juniors

Is this solution a correct application of the Pigeonhole principle ?

How do I use the Pigeonhole principle to show that in a class of 25 students where every student is either a sophomore, freshman or a junior there are at least 9 sophomores or 9 seniors or 9 juniors ?

My solution: Assume by contradiction that there are 8 sophomores, 8 freshman and 8 juniors then $8+8+8=24\ne 25$ thus by contradiction there are at least 9 sophomores or 9 seniors or 9 juniors

Is this solution a correct application of the Pigeonhole principle ?

asked 2022-08-19

Given the statementS: ''If you are a computer science student, then you know either discrete math or Java'',which one is the negation of the statement S ?1. you are not a computer science student, but you know either discrete math or Java2. If you are a computer science student, then you know neither discrete math nor Java3. You are a computer science student, but you know neither discrete math nor Java4. If you are not a computer science student, then you know neither discrete math nor Java