 325 Answered Questions for the topic discrete math

Discrete Math

1d

#### Where 𝜑(𝑛) is Euler’s Totient Function, find

a. 𝜑(77) b. 𝜑(751)
Discrete Math

1d

#### Prove the following:

𝐸𝑣𝑒𝑟𝑦 𝑝𝑒𝑟𝑓𝑒𝑐𝑡 𝑠𝑞𝑢𝑎𝑟𝑒 𝑖𝑠 𝑒𝑖𝑡ℎ𝑒𝑟 𝑎 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒 𝑜𝑓 4 𝑜𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑓𝑜𝑟𝑚 4𝑛 + 1 𝑓𝑜𝑟 𝑠𝑜𝑚𝑒 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝑛. (try proof by cases, since an integer is either even or odd, do one proof where 𝑛 is even, then do another... more
Discrete Math

1d

13(𝑚𝑜𝑑 31)
Discrete Math

1d

#### Do the following congruence equations have solutions? If so how many? Do not solve the equations.

a. 4𝑥 ≡ 7(𝑚𝑜𝑑 16)b. 5𝑥 ≡ 12(𝑚𝑜𝑑 32)
Discrete Math

1d

#### Use the EEA to find integers 𝑥 and 𝑦 such that :

84𝑥 + 33𝑦 = gcd(84,33)
Discrete Math

1d

a. 1731 b. 21977
Discrete Math

1d

#### Use the EEA to find integers 𝑥 and 𝑦 such that:

300𝑥 + 222𝑦 = gcd(300,222)
Discrete Math

8d

#### Discrete Math TY!

Q1:A>C, B>D ⊢ (A∧B)>(C∧D)Q2:AvB, A>C, B>D ⊢ CvD
Discrete Math

9d

Discrete Math

9d

Discrete Math

9d

Discrete Math

9d

#### Find gcd( 1180, 482). Use the Euclidean algorithm.

Discrete Math Math Probability

13d

#### Data Management Probability Distributions and Discrete Probability Question

Hi, I am doing a question for my data management class, the unit is probabilty distrubtions and discrete probabilty and I would like to know how to go about it. A Euchre hand consists of 5 cards... more
Discrete Math

16d

#### How many Hamilton circuits exist in 𝐾_10?

i dont know how to show how many circuits are within K sub 10 and i need help with it. Im using the equationn(n-1)/2 but i dont know if this is the right equation
Discrete Math Probability

23d

#### What is the probability that a student picked at random took Precalculus, given that she passed Calculus?

A college requires certain students to take Precalculus prior to taking Calculus. Thirty-five percent of students that eventually take Calculus take the Precalculus course. Sixty percent of those... more
Discrete Math Probability

23d

#### What is the probability that all three are queens?

Three cards are drawn in succession from a standard 52 card playing deck without replacement. What is the probability that all three are queens?
Discrete Math Probability

23d

#### what is the probability that the applicant speaks French or German?

Of 78 job applicants to the United Nations, 31 speak French, 41 speak German and 9 speak French and German. If a job applicant is chosen at random, what is the probability that the applicant speaks... more
Discrete Math Discrete Mathematics

26d

#### Prove that N has the same carnality as {m€Z m is even Λ m ≤ -100}

Prove that N has the same carnality as {m€Z m is even Λ m ≤ -100}
Discrete Math

06/21/20

#### Let A = {2, 4, 8}

0. Let A = {2, 4, 8}, B = {3, 6, 12}, C = {w, x, y, z}, the function f : A→B be given by the rule f = {(2, 3), (4, 6), (8, 12)}, and the function g : B→C be given by the rule g = {(3, z), (6, z),... more
Discrete Math

06/21/20

#### Determine Each of the following

Let the universal set U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {2, 4, 6, 8}, and B = {1, 2, 3, 4}. Determine each of the following. (5 pts.) a) A∪B = b) A∩B = c) B−A = d) A′ = e) ∅′

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