888 Answered Questions for the topic discrete math

Discrete Math Discrete Mathematics

02/11/22

Prove that if: x^n + a*x + b = 0, has a real solution, then it is unique.

Let a and b be real numbers with a ≥ 0. Let also n be an odd integer with 0 ≤ n. Prove that if: x^n + a*x + b = 0has a real solution, then it is unique.

02/09/22

Simplify the following Boolean functions algebraically. Indicate which of the Laws are applied at each step. Check your answer with truth tables for Problems 4 and 5

Please help me with this boolean expressions this is too difficult for me, please show its done so i can learn from it all steps and work.Simplify the following Boolean functions... more
Discrete Math

02/08/22

Discrete math and structures

Suppose you are managing 17 employees, and you need to form three teams to work on different projects. Assume that all employees will work on a team, and that each employee has the same... more
Discrete Math Statistics Probability Maths

02/08/22

DISCRETE MATHS HELP NEEDED !!

On the menu of a Chinese restaurant, there are 7 chicken dishes, 5 beef dishes, 4 seafood dishes, and 10 vegetable dishes.In how many ways can they order if at most one dish of each kind is chosen?
Discrete Math Math Statistics Probability

02/08/22

HELP NEEDED !!! DISCRETE MATHS

In the game of poker, a player receives a subset of 5 cards, called a poker hand, from the standard deck of 52 cards. The order in which the cards are received is not important, just the actual... more
Discrete Math Math Statistics

02/08/22

Discrete Maths Help ASAP

In a standard deck of cards, there are 4 suits: clubs, diamonds, hearts, and spades. Each suit contains 13 cards: 2, 3,…,10, Jack, Queen, King, Ace. So there are 4 * 13=52 cards in the deck.A... more
Discrete Math Discrete Mathematics

02/07/22

Prove that mn^k is even if k > 0

Let n, m, k be integers where n is even and m is odd. Prove that mn^k is even if k > 0.I know intuitively that n^k can just be expressed as an even number, because n is even. But is that a valid... more
Discrete Math Discrete Mathematics

02/06/22

Discreete mathematics proof

Let n and m be integers and assume that n is even. Prove that nm is even and that n + m has the same parity as m.

01/24/22

There exists a unique integer a such that a + b = b for all integers b.

I am doing this for a proofs class and I keep getting confused about how to prove it

01/13/22

Thirty points are placed equally spaced on a circle, and the points are labeled with the integers from 1 to 30 in random order.

Prove that no matter what the arrangement of labels is, there are three successive integers whose sum is at least 45.
Discrete Math Discrete Mathematics

01/02/22

Set Theory: A is a subset of B. Prove that C - B is subset of C - A

A ⊆ B. Prove that C - B ⊆ C - A.My approach:Take element k ∈ C - B. This means that k ∈ C and k ∉ B. Since k ∉ B then k ∉ A because A ⊆ B. It's also true that k ∈ C - A because k ∈ C and k ∉ A.... more
Discrete Math

12/18/21

How many integers in the set {500, 501 , 502, ,,, , 1385, 1386 } are:

a) divisible by 3?b) divisible by 4?c) divisible by 5?d) divisible by 3 and 5?e) divisible by either 3, 4, or 5?f) not divisible by neither 3, 4, nor 5?

Expected number of becoming good friends

Consider a group of people. There are 500 people in the a room. If we put them altogether inside a room for 1 hour, each pair of people has a 1 in 10000 chances of making friends together and... more
Discrete Math

12/11/21

discreet,1) Suppose a box contains 18 balls numbered 1 through 6, three balls with each number.

1) Suppose a box contains 18 balls numbered 1 through 6, three balls with each number. When 5 balls are drawn without replacement, how many outcomes are possible, a) if the order in which the balls... more
Discrete Math

12/10/21

(P v Q) ^ (P⟶R) ^ (Q⟶S) is equivalent to… i dont quite get this also i need to show a truth table. just explanation will do so i can understand.

(P v Q) ^ (P⟶R) ^ (Q⟶S) is equivalent to… S v R S ^ R S ⟶ R All of above
Discrete Math

12/10/21

Which of the following are tautology? .... i dont know how to get the solution

Which of the following are tautology? (p Λ ~q) Λ (~p V q) p Λ ~p (p ⟶ r) ↔ (q ⟶ r) p ⟶ (q V r) ≡ (p Λ ~q) ⟶ (p Λ q) V (~p V (p Λ ~q))
Discrete Math

12/04/21

Trees: Draw a tree on 6 vertices where all but one vertex has degree 1.

Trees Draw a tree on 6 vertices where all but one vertex has degree 1.
Discrete Math Functions Sets Relations

11/29/21

Relation Maths Question

Prove that the relation ℝ ={(a,b) | a divides b} {Z}^+ is not an equivalence relation. ( 4 marks )

11/29/21

Relation Math Question

Let R = {(a,b)∣a divides b} be a relation on the set {Z}^+Which of the following statements are correct? Tick all the corresponding answers.a) R ⊆ Z^+ × Z^+b) R is reflexive.c) R is... more
Discrete Math Relations

11/29/21

Relation Math Question

Let R1​={(a,1),(b,1),(c,1)} be a relation on the set {1,2,3,4,5,a,b,c}, and let R2​={(1,2),(2,3),(1,3),(1,1)} be a relation on the set {1,2,3}.Which of the following statements are correct? Tick... more

11/24/21

An employee joined a company in 2019 with a starting salary of 120,000 Dhs per year. Every year this employee receives araise of 5% of the salary of the previous year.

a.    Set up a recurrence relation for the salary of this employee. (Open formula)b.    Find an explicit formula for the salary of this employee n years after 2019. (Closed formula)c.     What... more

11/24/21

How many permutations of the letters STUVWXZA contain the strings UVW or ST?

I need an answer to this question ASAP!

11/24/21

How many bit strings of length 15 contain at least three 1s and at least three 0s?

I need an answer to this question ASAP!

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