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Discrete Math

03/07/16

Knights and Knaves question

Assume A, B and C are either knights or knaves. A says: “B is a knight, if and only if C is a knight.” B says “Cis a knave or A is a knave.” What are A,B and C? (Knights always tell the truth and... more

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Discrete Math Functions Relations And Functions

02/21/16

how many unique functions?

I am not sure how to answer this questionLet S = {1, 2} and T = {a, b, c}.How many unique functions are there mapping S → T? (Is it 2? because (1,a) and (2,b) ) How many onto (surjective) functions... more

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Discrete Math

02/19/16

discrete math (induuction)

At time 0, a particle resides at the point 0 on the real line. Within 1 second, it divides into 2 particles that fly in opposite directions and stop at distance 1 from the original particle. Within... more

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Discrete Math Discrete Mathematics

02/11/16

For all real equations, prove f is decreasing if -f is decreasing

I believe the problem was to write a proof that proved For all real equations, prove f is decreasing if -f is decreasing

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Discrete Math

12/16/15

Prove that an integer n>1 is a prime if and only if all of the binomial coefficients C(n,k) (1<k<n) are divisible by n

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Discrete Math

12/02/15

Prove that the relation R n S is also an equivalence relation on A.

Suppose that R and S are equivalence relations on a set A. Prove that the relation R ∩ S is also an equivalence relation on A.E

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Discrete Math Discrete Mathematics Mathematical Induction Mathematical Proof

11/19/15

Proof by induction.

Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.

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Discrete Math Computer Science Discrete Mathematics Mathematical Induction

11/19/15

Proof by mathematical induction.

Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.

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Discrete Math

11/16/15

use a combination formula to answer the question in the description?

suppose there are 12 seniors and 10 juniors in a schools honor society. ten honor students must be chosen to attend a conference. the conference organizers require that a school send more seniros... more

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Discrete Math

11/09/15

mod arithmetic

Assume you have a predicate P(n). You know that P(8) is true and that P(k) → P(k + 5). For what values of n do you know that P(n) is true? Write your answer using mod arithmetic

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Discrete Math Discrete Mathematics Math Proofs Binary Tree

10/21/15

What is the minimum height height of a full binary tree?

What is the minimum height of a full binary tree T which has nodes n(T) = 2k-1 for k= 1, 2, ... ?

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Discrete Math Discrete Mathematics Resolutions Proposition

10/20/15

Prove the following proposition using resolution.

Prove the following proposition using resolution. [(p → q) ∧ (q → r) Λ p] → r Show first the conjunctive normal form of the negation of the proposition. Then show a sequence of numbered... more

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Discrete Math

09/25/15

how many odd three digit numbers can be made using the digits 1,2,3,4,5,7?

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Discrete Math Sequence Relations And Functions Sequences

09/22/15

Solve this recurrence relation and find a2 and a3?

We have to recurrence relation an = 2an-1 - an-2. Find a2 and a3 if: a) a0 = 1 and a1= 1? b) a0 = 0 and a1 = 0?

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Discrete Math Summations Discrete Mathematics Summation

09/22/15

Finding a closed form for these summations?

Find a closed form for these summations? n=100 a) ∑ 1/2 i=1 n=5b) ∑ 1/3 i=1

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Discrete Math Discrete Mathematics

08/13/15

Conditional Proof

Please Show the solution the premise and the laws that you used i can't get it thanks number two is the most i need to have an answer . 1.) 1. (M v N) → O 2. P→(Q ^ R) /∴ (M → O) →... more

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Discrete Math Algebra 1 Algebra 2 Ordered Pair

07/15/15

algebra 1 question

How many ordered pairs of real numbers will satisfy the equation 2x-5y=6 A)1 B)0 C)2 D)3 E)infinite Please Help!THANKS!

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Discrete Math Algebra 1 Geometry Algebra Word Problem

07/14/15

Confusing reasoning/logical question. PLEASE HELP!!!

I really need help on these types of questions. I just don't understand how to do them. I don't even understand what math this is lol (algebra 1,2 or geometry). Please help and please tell me... more

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Discrete Math Discrete Mathematics Inductive Reasoning Mathematical Induction

05/17/15

Prove that for any integer n, with n greater than or equal to 1...

Using mathematical induction, prove that for any integer n, with n≥1, n(n2-1)(n+2) is divisible by 4.

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Discrete Math Statistics Discrete Mathematics Sampling

04/29/15

A group to be surveyed is randomly selected from employees who have been with the company for 5 years. Name the type of sampling used and is the sample biased?

A company conducts a survey every spring to measure the morale of its employees. A group to be surveyed is randomly selected from all employees who have been with the company for exactly 5 years.... more

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Discrete Math

04/22/15

Counting subsets

(a) Please count how many functionsf : D → {0, 1} can be defined if the domain D is a finite set with the cardinality |D| = n.(b) Can you find a bijection between the set of all such functions and... more

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Discrete Math Computer Science Discrete Mathematics

04/11/15

What is the Largest Input Size?

Suppose a machine on average takes 108 seconds to execute a single algorithm step. What is the largest input size for which the machine will execute the algorithm in 2 seconds assuming the number... more

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Discrete Math

03/05/15

discrete math. sets problem. true or false?

let T = {(x,y) ∈ R x R(real numbers) | y = √x / (√(x-3)) Let D = {y ∈ R, | (x,y) ∈ T for x ∈ R}. for each one, decide if true or false a) 1/4 ∈ D b) 4 ∈ D why?

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Discrete Math

03/05/15

discrete math. sets problem help?

Let S = {(x, y) ∈ R × R | 2x + 3y < 8}, T = {(x, y) ∈ R | y^2 + y > 6x^2}. (a) Exists a ∈ R so that (a, −10) ∈ ST? Why? (b) Exists b ∈ R so that (−10, b) ∈ TS^−1 ? Why?

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Discrete Math Mathematical Induction

03/04/15

Prove by induction that ?n=3 : n^2+1=3n

Prove by induction that ∀n≥3 : n^2+1≥3n

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Knights and Knaves question

how many unique functions?

discrete math (induuction)

For all real equations, prove f is decreasing if -f is decreasing

Prove that an integer n>1 is a prime if and only if all of the binomial coefficients C(n,k) (1<k<n) are divisible by n

Prove that the relation R n S is also an equivalence relation on A.

Proof by induction.

Proof by mathematical induction.

use a combination formula to answer the question in the description?

mod arithmetic

What is the minimum height height of a full binary tree?

Prove the following proposition using resolution.

how many odd three digit numbers can be made using the digits 1,2,3,4,5,7?

Solve this recurrence relation and find a2 and a3?

Finding a closed form for these summations?

Conditional Proof

algebra 1 question

Confusing reasoning/logical question. PLEASE HELP!!!

Prove that for any integer n, with n greater than or equal to 1...

A group to be surveyed is randomly selected from employees who have been with the company for 5 years. Name the type of sampling used and is the sample biased?

Counting subsets

What is the Largest Input Size?

discrete math. sets problem. true or false?

discrete math. sets problem help?

Prove by induction that ?n=3 : n^2+1=3n

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