888 Answered Questions for the topic discrete math

Discrete Math

06/08/21

Draw a full ternary

a. Draw a full ternary (3-ary) tree which has 5 internal vertices of height 4b. How many vertices and edges it has?c. How many leafs does it have?
Discrete Math

06/08/21

Probability math

There are 15 balls in a box, 6 of them are red, 5 are blue, 4 are yellow.a) Find the probability of a randomly chosen ball is yellow one?b) Chosen 2 balls, what is the probability that both balls... more
Discrete Math

05/14/21

Let A = {−6, −5, −4, −3, −2, −1, 0, 1, 2} and define a relation R on A as follows: For all m, n ∈ A, m R n ⇔ 5|(m2 − n2).

Let A = {−6, −5, −4, −3, −2, −1, 0, 1, 2} and define a relation R on A as follows:For all m, n ∈ A, m R n ⇔ 5|(m2 − n2).It is a fact that R is an equivalence relation on A. Use set-roster notation... more
Discrete Math

05/13/21

Prove using elements that (A ∪ B) ^c ⊆ A^c ∩ B^c

Discrete Math

05/10/21

Explain quantifications in English

How would you describe each of these quantifications in English?a) ∃x¬Z(x)b) ¬∀xZ(x)Where Z(x)=“x has spent a quiet evening at home,” , Domain = Ali’s friends
Discrete Math

05/10/21

Explain Statements of quiantifiers

How would you explain these statements in terms of A(x), B(x), quantifiers, and logical connectives,where A(x) is “x only go on big river” and B(x) is “x go on the Hudson” and Domain = Cruise... more
Discrete Math Discrete Mathematics

05/06/21

We are doing this new topic in discrete math and I need this one question done

https://imgur.com/a/pVUaDfxSorry I couldn't write up the question its really complex to write and there was no picture upload option so here is the question^. I do need help as soon as possible... more
Discrete Math Mathematics

05/04/21

Solve using set theory

In a group of students, 70 have a personal computers, 120 have a personal stereo and 41 have both. How many own at least one of these devices? Draw an appropriate Venn diagram.
Discrete Math

04/27/21

6. Suppose that you’re given the following probabilities P(A) = 1/2 , P(B) = 1/4 , P(C) = 1/8 , P(A ∪ B) = 3/4 Find the following probabilities: • P(A ∪ B') • P(A' ∩ B')

6. Suppose that you’re given the following probabilitiesP(A) = 1/2 , P(B) = 1/4 , P(C) = 1/8 , P(A ∪ B) = 3/4 Find the following probabilities:• P(A ∪ B') • P(A' ∩ B')
Discrete Math Calculus Mathematics

04/27/21

(n+1)^3 >= 3^n for n in N, n<=4

Proof by Exhaustion is proving that something is true by showing that it is true for each and every case considered. Using this method (sometimes also called Proof by Cases) prove the... more
Discrete Math Logic Maths

04/26/21

Show that {A,B,C,D} is enumerable by describing a listing of all its elements that qualifies as an enumeration by the definition in the lecture notes

Tips: Consider the set {A,B,C,D}* of all finite strings over the symbols A, B, C and D. Examples of such strings include, ", A, C, ABCD, AACCD, CADB, etc. For a string s 2 {A,B,C,D}*, define the... more
Discrete Math Math Statistics Probability

04/23/21

In a drug study of a group of 500 patients, 150 patients responded positively to drug #1, 200 patients responded positively to drug #2 and 90 patients responded positively to both drug #1 and drug #2.

8. In a drug study of a group of 500 patients, 150 patients responded positively to drug #1, 200 patients responded positively to drug #2 and 90 patients responded positively to both drug #1 and... more
Discrete Math Discrete Mathematics

04/23/21

...what is the probability that two women and a man will give presentations on the second day?

A graduate class in computer science consists of six students, three men, and three women. During the last two days of the semester, presentations are made by the students, three presentations on... more
Discrete Math Math Probability

04/22/21

How many permutations of the letters a, b, c, d, e, f, g have either two or three letters between a and b.

How many permutations of the letters a, b, c, d, e, f, g have either two or three letters between a and b.Is the answer 1680??
Discrete Math

04/21/21

A shipment of 100 items contains 10 defective items.

A shipment of 100 items contains 10 defective items. A group of 4 items is chosen at random. What is the probability that the group will contain at least one defective item?
Discrete Math

04/21/21

Four toy blocks each with one of the letters M, A, T, and H are placed in a box.

Four toy blocks each with one of the letters M, A, T, and H are placed in a box. If you randomly pick them one at a time without replacement, what is the probability that you will choose them in... more
Discrete Math Discrete Mathematics

04/17/21

How many 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?

How many 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?
Discrete Math Discrete Mathematics

04/17/21

How many 4-digit numbers are there, the sum of whose digits is 11?

How many 4-digit numbers are there, the sum of whose digits is 11?
Discrete Math

04/14/21

Composite functions

Is this composite function legal?g(x) : P({1,2,3,4})→{0,1,2,3,4} defined by g(X)=|X|g(g(x))My hunch is that it would not work since the image is a number and not a set.
Discrete Math Discrete Mathematics

04/09/21

Let R be a relation from the set A to the set B, then: Prove that Ran (R)=Dom (R-1 ).

there is no other detail
Discrete Math Logic Proofs Advance Math

04/07/21

What is the most probable next number in the sequence?

What is the most probable next number in the sequence?2, 3, 5, 8, 13, 21,3 4, 55, 89, 144, 233, 377, 610,...
Discrete Math Logic Proofs Sequences

04/07/21

Write an explicit formula for the sequence:

Write an explicit formula for the sequence: {-1/6 , 1/7, -1/8, 1/9, -1/10, 1/11, ...)an= ?

04/07/21

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{ 7/2 , 7/4, 7/8, 7/16, 7/32, ....)assume the first term is a1an=

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