Which of the following binary operation is commutative? O LA a*b=Da O B] a *b=a b2 O [C] a*b=a" O D a*b=a²+b²

Q: If the binary operation * is defined on a set of ordered pairs of real number as (a,b)*(c,d)=…

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Q: is not a binary operation on Q*. a. + O b. - O c. * O d. None of them O e. /

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Q: By the Femat's theorem, find the inverse of 8 mod 19 A) 817 B) 818 C) 417 D) 418

A: The value of a mod b is the the remainder of a after dividing with b.  The inverse of any integer a…

Q: If a number N is divisible by both 4 and 12, then which of the following must be true? i. Nis…

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Q: In RSA encryption p,g primes and {e,n} public key p,q primes and {e,n} private key p,q primes and…

A: We need to find the solution of the question " In RSA encryption , which numbers form public keys…

Q: Which of the following is a binary operation if a and b are in S? a.a*b = ab+ b², S= set of negative…

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Q: Let P(n) be the assertion that: for any integer n 2 1, 7" - 1 is divisible by 6. Part 1 Part 2. In…

A: Principle of Mathematical Induction :Let P(n) be a statement .step 1 : For n=1 is true .step 2 : Let…

Q: Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3  . Choose thecorrect answer.(A) Is ∗…

A: Given:Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3  . Choose thecorrect answer.(A)…

Q: Which are binary operations? E xplain who or why not . A) On the positive integers ,that is ,…

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Q: 3. Determine in each case, if the given * is (i)commutative and (i)associative. a. On Z, a + b = a +…

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Q: a * b = a – b is a commutative binary operation on Z

A: Explanation of the answer is as follows

Q: Evaluate the following expressions using GEMDAS or PEMDAS rule. 4. 10 - 2+6÷ 3 8. 46 - 62 + 36 5. 20…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Which of the following is a correct? OA Addition "+" defines a binary operation on every set of…

A: Binary Operation:  If A is any non empty set, then map from A×A to A defines a binary operation on…

Q: Construct a binary operation ♦ on {a, b, c} that is commutative

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Q: Prove the following axiomatically. You may assume that + and · on N have the commutative,…

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Q: For each positive integer n, let P(n) be the property 5n − 1 is divisible by 4. Write P(0). Is P(0)…

A: Replace the values of n by given values

Q: is not a binary operation on Q*. O a. + O b.

A: Let G be a set . A binary operation on G is a relation that assigns each ordered pair of element of…

Q: Is a *b a+2b - 3 commutative under the binary operation? a. Yes b. No Maybe d. Cannot be determined…

A: We need to check whether the binary operation defined by a*b = a + 2b -3 is commutative.

Q: 1 If in a set of base-ten blocks, one long represented what is the value of each of the following?…

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Q: In a survey regarding Covid-19 check up, 525 persons registered for free check up, 300 persons…

A: Given:  n(A) = Number of people registered for free checkup =525n(B) = Number of people registered…

Q: Let '&' be a binary operation defined on the set N. Which of the following definitions is…

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Q: Which of the following binary operation is not closed in the set of real numbers? O a*b = Vab O…

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Q: Show that ADFA ∈ L, where ADFA = { |B is a DFA that accepts input string w}.

A: Consider the equation

Q: In RSA encryption P,n primes and{e,n} public key P.q primes and {d,n} public key P.q primes and…

A: In RSA algorithm, we take two primes, p, q.

Q: Which of the following sentences are not valid? The powerset of X contains 2^10 elements, so X has…

A: Find out which of the given sentences are not valid. Formula: nCr=n!n-r! r! 1) The powerset of X…

Q: Determine whether the following binary operations are commutative/associative on R2 1. (a,…

A: We want to check associativity and commutativity.

Q: Name: A. Express the following to permutation notati 1. 15 x 14 x 13 x 12 x 11 x 10 x9 2. 8x7 x6 x 5…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: If {e: 3 is an H₂ then Брасе either empty bits ar O Y loo

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Q: is not a binary operation on Q*. a. + O b. - O C. * O d. None of them O e. /

A: To solve this problem, we use the standered defination of binary operation.

Q: Suppose that in a certain state, all automobile license plates have four letters of the 26 English…

A: GivenAutomobile license plates have four letters and followed bt three digitsNo.of letters from A-Z…

Q: ncode the message MATH using the coding formula C = (7P + 11) mod 26.

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Q: Complete the table so that is a commutative binary operation on the set S (a, b,c,d). a b. a. a a b.…

A: The objective is to complete the table.

Q: Consider the following statement: "If two numbers have the same remainder modulo 10 then their…

A: If two numbers have the same remainder modulo 10 then their product is divisible by 100. Part(a):…

Q: Let 9={a: aER}, then 9 is Borel algebra.

A: False

Q: me Wr fuzzy number right fuzzy index Bu6pat.. moda У Вибрати... left fuzzy index 1

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Q: Suppose that In A = 3 , In B = 4 , and In C = 5 . %3D A? Evaluate In ВС

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Q: Let (N,*) where a, b, c E N; a * b = lcm[a, b] a) It is a law of internal composition in N? b) It is…

A: Given :  ℕ, *  be the algebraic structure such that  a*b = lcm[a, b],  where  a, b ∈ℕ. To check :…

Q: The number of 6-bit binary strings is Välj ett alternativ: a. 6 b. 16 c. 32 d. 64 e. other

A: The number of the 6-bit binary string is 64 Since it is a binary string so coded with only 0 and 1…

Q: Which of the following is a correct? OA A binary operation "." on a set a is commutative if a (b *c)…

A: We have to select the correct statement.

Q: Which of the following binary operation is not closed in the set of real numbers? O a*b = √ab O a*b…

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Q: Does 9|54? O Yes, because 6 = 54 O Yes, because 54 = 9 · 5. O Yes, because 54 = 9 · 6. %3D O No,…

A: Correct Answer =>  Option C :- yes, because 54 = 9•5

Q: The binary operation defined as a*b=3a 2b is closed in all the given sets EXCEPT | O set of Natural…

A: Given operation is a*b = 3a - 2b

Q: Justifed Claims SWIRIO peunsnfuo EFIIGH O EFIOH ABII CD AA KILKIKKJI A6 Working on... Add a new…

A: Let IJKL be a quadrilateral, Given, Angle J = Angle L AB || CD

Q: If the binary operation * is defined on a set of ordered pairs of real numbers as (a, b) * (c, d) =…

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Q: Let E (a,b, c). Design an NFA that accepts the language L = {a}, which consists of exactly one word…

A: Solution

Q: Which of the following is an associative binary eq Select one: O a. a * b = a b O b. (a b) c= a (b…

A: Option (b) is an associative binary operation.

Q: Which one of the following options regarding the binary operation is FALSE? a b c d aadcb bbada…

A: We find Correct option.

Q: Consider the incomplete binary operation on the set (a, b, c) below: abc a a bb cbc Which one of the…

A: To have commutative property We need to verify ab =ba for all a, b belongs to the set. In option…