binary operation

Q: Assume that product codes are formed from the letters V, S, and Q, and consist of 4 not necessarily…

A: 1). For 4 letter product code to be arranged with the letters V, S and Q, the first position is…

Q: 19683 different binary operations on a set S having exactly 3 elements

A:

Q: Prove that for all natural number n, 52n-1 is divisible by 8.

A:

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A:

Q: Equivalence classes of mod 6 on Z have: a)  3 elements each b)  infinitely many elements each c)…

A: Concept Used: We know that ℤn be the set of all congruence class of ℤ for the relation congruence…

Q: Show that an integer N is divisible by 9 if and only if the sum of its digits is divisible by 9

A: Let a=anan-1...a3a2a1 be an integer and S be the sum of the digits. Consider a,…

Q: Show

A:

Q: Determine the number of permutations of the set {1 ,2 ,..., 14} in which exactly 7 integers are in…

A: Solution-:

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

A:

Q: what are the congruence classes in the set of intergers?

A:

Q: Give three elements of the equivalence class of 15 modulo 7

A:

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: Everybody at a company is assigned a unique 9 digit ID. How many unique IDs exist?

A: Hello, thanks for posting your question here.  Since you have posted a question with multiple…

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: 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: Determine the identity element of the set N={1,2,3,..} of positive integers with addition.

A:

Q: How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted…

A: number of ways in which A can be selected (2-9) = 8 ways  number of ways in which B can be selected…

Q: Prove that An B = AUB using the method of i) membership table, ii) identities, and iii) Venn…

A:

Q: Every integer nz2 either is a prime or can be expressed of a product of primes. This statement is…

A: From Fundamental theorem of Arithmetic says that Every positive integer n>1 can be expressed as…

Q: How many elements are there in the greatest conjugacy class of 5 ?S

A:

Q: Make a lattice diagram of Z modulo 7 excluding 0 under the binary operation of multiplication

A: Given: ℤ modulo 7 with respect to multiplication. To find: Lattice diagram of subgroups of given…

Q: ive an example of a binary operation on Z (integers) that is not commutative

A: Binary operation: A binary operation on a set S is a mapping of the elements of the Cartesian…

Q: Prove a number is divisible by 3 if and only if the sum of its digits is divisible by 3.

A:

Q: Find the missing dimension in the dimension strings below.

A: Given data:     The given first dimension is: a=3’-3’’. The given second dimension is: b=5’-6’’. The…

Q: Let x / y= xy + x+ y be a binary operation in the set of integers. What is 4 / - 2 ?

A: Given x/y=xy+x+y  With respect to the above binary operation, we have to find 4/-2

Q: how many subsetsof one or more elemets can be formed from a set containing 12 elements?

A: Use concept of power set

Q: The greatest common divisor of two number 1, b(nteger) are. None of the

A:

Q: When a binary operation is performed on two elements in a set and the result is the identity element…

A: When a binary operation is performed on two elements in a set and the result is the identity element…

Q: Show that the set {2/3, 1/3, 2/9, 1/6,...} is countable

A:

Q: How many 98-element subsets does [100] have? (Here [100] is the set consisting of the first 100…

A: Given: Let us consider n be the number of elements in the set and r be the elements-subsets. Then, n…

Q: Use the roster method to write the set of natural numbers less. Than 12

A:

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A:

Q: There are 17 distinct congruence classes modulo 19. True False

A: we know that from the property of congruence classes    There are exactly n distinct congruence…

Q: Give a recursive definition for the set of all the positive integers that are less than 100 and not…

A: Given: Set of all positive integers that are less than 100. To find: Recursive definition for the…

Q: 6. The set of binary strings that when interpreted as either by 2 or 3, but not both at the same…

A:

Q: Determine if the specified operation is a binary operation on the given set.the operation subtract…

A:

Q: Prove that every third Fibonacci number in 0, 1, 1, 2, 3, ... is even.

A:

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

A:

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A: Given, A denotes the set of all 4 digit numbers that are divisible by 3 B denote the set of all 4…

Q: Show that in any collection of 7 or more natural numbers there are ALWAYS TWO numbers whose sum or…

A: In the given problem we have to show that in any collection of 7 or more natural numbers there are…

Q: True or False  Addition and multiplication are binary operations on the set Z of integers so that…

A:

Q: 7. Determine whether the given sets are binary operations under addition, subtraction,…

A:

Q: fa binary operation is performed on any two elements of a set and the result is an element of the…

A: let * be the binary operation, A be the set and a and b are the elements of set a*b∈A, then A is…

Q: Exercise 5. Prove that given positive integers a and b, there is a positive integer d such that • d…

A: Given two positive integers a and b, let us choose d = gcd(a, b) [greatest common divisor] Then…

Q: Convert integers 205 and 12 to binary representations and find their product using the binary…

A: We have to convert the number 205 and 12 to binary representation and find their product using the…

Q: Partition (Z/19Z)* into equivalence classes determined by the identi- fication of elements of the…

A: According to the given information, it is required to determine the primitive roots modulo 19.

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A:

Q: Consider the infinite set Yof all infinite strings of binary numbers 0,1, for example…

A: We will first assume that Y is countable, then we will use a clever method to construct an unique…