Which of the following is a correct? OA A binary operation "." on a set a is commutative if a (b *c) = (a*b) *c for all a,b.cEA- O B. None of the choices in the list is correct. OC The operation "*" defined by m* n= m+n is a binary operation on the set "z" of integers. OD. Addition "+" defines a binary operation on every set of numbers.

Q: (a - b)(a − c)(a − d)(b − c)(b − d)(c - d) -

A:

Q: (m+1)(n+. b. Let A = (1, 5, 7, 25, 35, 49, 175, 245, 1225) be the set of positive divisors of…

A:

Q: Fill the table for the binary operation in a way that makes the operation associative * a b d a a b…

A:

Q: Show that subtraction and division are not binary operations on N.

A: Let us define subtraction operation as

Q: Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of…

A: Let black chips represent positive integers and red chips represent negative integers. Take the…

Q: Is a * b a +b+3 associative under the binary operation? a. Yes b. No c. Maybe d. Cannot be…

A: The solution is given as

Q: What are the two things we need to show to prove that need to show to prove that is a binary…

A: To find: the conditions such that "*" is a binary operation or binary composition.

Q: Q5/Find the addition result for the following operation (66)8+ (1100)EX-3+(83)10- (F2.1)16 using 2's…

A: Solution :-

Q: ich of the following is a correct? A. The operation defined by m+n n= - is a binary m operation on…

A:

Q: 1 101101, and 101, 2. 10111102 and 102 and 112 3. 1000012

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly…

Q: Fill in the blank with the appropriate word. Since the sum of 0 and any integer is the given…

A: Since the sum of 0 and any integer is the given integer, we say that 0 is the additive ___  element…

Q: The binary operation 8 is defined on the set Z of all integers by a b = a+b-ab. Which of the…

A:

Q: Question 14 Evaluate the following. (DO NOT USE COMMAS WHEN YOU V FOR EXAMPLE ENTER 3456789 NOT 3,…

A:

Q: 3. Is every binary operation is commutative? Explain your answer.

A: Solution is given as below:

Q: Show that the following are binary operations on the specified sets. 1. Addition, subtraction, and…

A: Binary operation is the operation which is performed on two elements of a set X and the result is…

Q: Consider 3 , 5 , 8 , 10 , 5 , 2 , 1 , 7 , 3 , 13  as an input to the list of n integers. Dry run the…

A: The if part of code will execute for every alternate number starting from 1.

Q: For a, beZ, define an operation 8, by a 8b = (a+b)(a+b). Which statement is FALSE? (Note: Z is a set…

A: Given that,for a,b ∈Z the defined operation is a⊗b=a+ba+b

Q: The integer with the 8-bit representation 10111010 has decimal representation -7110. Select one:…

A: Given :- 10111010 has decimal representation -7110

Q: Show that the following are binary operations on the specified sets. Give examples and show complete…

A:

Q: 1 I01, and 1110, 2. 111000, and 11102 3. 11D0001, and 110102

A: Given problem Given that   1)1111012 and 11102

Q: The bit XOR of the bitwise 011001 and 100101 is O 111100

A: Truth table of XOR is Input  Input Output 0 0 0 0 1 1 1 0 1 1 1 0

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

A:

Q: Let the binary operation *, be defined as a * b = a + 2b, where a and b are real numbers. a. What is…

A:

Q: Let A = (a, b, c, d) and let # be a binary operation from A x AA presented by the following table: b…

A: Given that

Q: Let be a binary operation defined by a + b = 3ab find (a + b) * a Option 4 Option 3 9a²b 9ab Option…

A:

Q: Suppose 59 cars start at a car race. In how many ways can the top 3 cars finish the race? ... The…

A: There is total 59 cars.

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: 4. Does 3 divide (3k + 1)(3k + 2)(3k + 3)?

A: We will show by induction, put the value of k = 0 we find, (3x0+1)(3x0+2)(3x0+3) = 6  Which is…

Q: Z+ as follows: For a, b € Z+, a*b = a - b + 1. Z+? Explain. (3.1) Define an operation * on Is * a…

A:

Q: A. give an example of a binary operation  B. Explain why this is an example of a binary operation

A:

Q: for divisibilty by each of

A:

Q: The binary integer 1111 0110 1101 00012 is F7D116 in hexadecimal notation. Select one: O True O…

A: The question is solved with explanation in step 2.

Q: which of the following defines the positive integers divisible by both 3 and 4? Select one: O a. 12…

A: Explanation of the solution is given below...

Q: Question 2 Which of the following is a correct? O A. The operation "" defined by m*n= m +n is a…

A:

Q: Let the binary operation *

A: Given,          a*b=a+2b where a and b are real numbers