Let * be a binary operation on N defined by a*b=Da-b+ab^2, then find 4*5. ***

Q: 3. Find the number of distinct permutations that can be formed your ID number.

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Q: How many different passwords of 4 characters can be made using the numbers from 0 to 9 and the…

A: A password of four characters is to be made using the numbers from 0 to 9 i.e. 10 digits and the…

Q: The modular representation of the integer 23 with respect to the modulo 2, 3, 5 is (1,2,3) (3,2,1)…

A: the modular representation of the integer 23 with respect to the modulo 2,3,5 is it is known that…

Q: Binary Codes Using the digits 0 and 1, how many differentnumbers consisting of 8 digits can be…

A: Given: 8 digit numbers are formed using binary codes 0 and 1. To Find: Total possible different…

Q: Assume that product codes are formed from the letters V, T, X, R, S, and Y, and consist of 6 not…

A: Available letters  : V, T , X , R , S, Y Repetition is allowed

Q: Use the definition of an r-permutation, or the product rule to determine the number of trifectas…

A: the product rule to determine the number of trifectas possible in a race with 9 horses. A trifecta…

Q: Find all three-digit numbers with different digits with the property that those numbers are…

A: Given that it is to be found all three-digit numbers with different digits with the property that…

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

A: A license plate has four letter letters followed by two digits excluding I, O, Q, U and 0, 1, 2, 3.

Q: Compute the addition modulo operation 3+2 2 0. 1 3 O O

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

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Q: How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a…

A: Here we will use the concept of combination and the formula for combination is given by C(n,r) =…

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

A: Given that the license plate has two digits followed by two letters again followed by two digits. Q…

Q: How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that the…

A: To form a 3 digit number, we start we can not place 0 on hundreds position since that will make it a…

Q: Find all three-digit numbers with different digits with the property that those numbers are…

A: Let N=100a+10b+c represent all the three-digit numbers, for some digits, a, b and c. Then,…

Q: Write the expansion of each expression using sigma notation. 19 (-Sm – 7n)" 19 19-7 (-Sm)"(-7n) Y-0…

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Q: How many 10-bit strings are there if the string must have exactly one 1 in the first half and…

A: The string must contain exactly one 1 in the first half and exactly one 1 in the second half. So…

Q: Suppose a password for a computer system must have at least 7 but no more than 11 characters where…

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Q: How many bit strings of length n, where n is a positive integer, start and end with 1s

A: First place 1 at the start and end of the n bit string. Then there are n-2 bit strings.

Q: Assume that product codes are formed from the letters X, T, and R, and consist of 6 not necessarily…

A: Given,  Product codes are formed from the letters X, T, and R, and consist of 6 not necessarily…

Q: Compute A4. (Notation)

A: Given, A=2000-30005

Q: Let S be the set of bit strings defined recursively by λ ∈ S and 0x ∈ S, x1 ∈ S if x ∈ S, where λ is…

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

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Q: Determine the number of strings of length 10 from the alphabet {A, B, C} that contain exactly 3 A's…

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Q: A license plate consists of   five symbols on each​ plate, where the first two symbols are letters…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

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

A: When the repetition is allowed in formation the general formula for calculating the possibility is…

Q: Suppose each license plate In a certain state has three letters followed by three digits. The…

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Q: prove that n²_1 is divisible by when ever n is odd an Positive integer.

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Q: (a) How many bit strings of length 9 either begin with 2 Os or end with 2 1s? (inclusive or) (b)…

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Q: How many three digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 such that the…

A: Given numbers are, 0,1,2,3,4,5,6,7,8 and 9 Total numbers are 10 We have to calculate the number of…

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

A: To understood this, consider a problem in which there are r vacant inline spots, each of the spots…

Q: Find the number of permutations x1, x2, x3, x4, x5,  of numbers 1, 2, 3, 4, 5 such that the sum of…

A: A number is divisible by 3 when one of the factors of the number is 3. Thus the sum…

Q: 2. Show that if a]b then a'|b² for all integers a and b (Symbols V, 3, A, V, V,A,→,-)

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Q: write a program to evaluate even numbers for [1,10],and [11,20]respectively in matlab

A: Even numbers for [1,10] is given below-

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: Suppose a password for a computer system must have at least 7, but no more than 11 characters where…

A: A password for a computer system must have at least 7, but no more than 11 characters where each…

Q: Is multiplication modulo 6 a binary operation on Z6^*? why or why not?

A: Take two elements in the set.Check whether multiplication modulo 6 of two elements is again in the…

Q: Suppose each license plate in a certaln state has two digits, followed by two letters, followed by…

A: The license plate consists of two digits, followed by two letters, followed again by two digits.…

Q: How many ways are there in which 2 purple stones, 1 yellow stone, 2 orange stones, and 2 red stones…

A: Given condition  :  No two stones are in the same row and no two stones are in the same column…

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

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Q: How many strings of length 6 decimal digits are there such that the first digit or the last digit is…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels…

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Q: How many ways are there to permute the elements of the multiset {1,1,2,2,3,4,5,6} so the first and…

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Q: A password must have 2 letters from the school acronym SSPU and 3 digits from 1 to 9. How many…

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Q: Assume that product codes are formed from the letters V, T, X, R, S, and Y, and consist of 6 not…

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

A: There are 6 positions in the license plate that need to be filled. Out of these 6, first 4 positions…

Q: Give an example of a pair of numbers that can be used to generate modulo residues to represent the…

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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: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an…

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

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Q: How many strings of 1our decimal digits have all four digits that are different?

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