a) Arrange the digits 0, 0, 2, 2, 3, 5, 7, 8, 9 to make a 9-digit number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. (Hint: use your divisibility rules to help you) b) Which of the divisibility rules are always satisfied no matter what the order of the digits is?

Q: How many unique codes are possibly formed from three parts, where the first part can be A to E, the…

A:

Q: in this question, you may leave your answer in unevaluated form. For example, answers may be written…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve the first three…

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: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: how many different 5-digit codes can be formed if the first digit must be an odd number, the second…

A:

Q: Find the number of different 10 letter arrangements that can be made from the letter of the word…

A:

Q: Our aim is to check whether 131 is a prime number or a composite number. Which among the following…

A: We will find correct option by finding Contradictory statement

Q: How many distinct scrambles (re-arrangements of the letters) of the word moximum. are there?

A: See the detailed solution below.

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: Determine the number of natural numbers less than 700 that can be written using the digtits 5,6,7,9?

A:

Q: Assume that product codes are formed from the letters A, B, C, D, and E, and consist of 5 not…

A: Product code is formed by the letters A, B, C, D, and E and consists of 5 not necessarily distinct…

Q: How many integers between 0 and 500: 1. Have distinct digits? 2. Are divisible by 3? 3. Are…

A: Integers between 0 and 500 = 1, 2, 3, 4, ....., 499   Number divisible by 3 = 3, 6, 9, ...., 498…

Q: How many code symbols can be formed using 3 out of 7 letters of A, B, C, D, E, F, G if the letters:…

A:

Q: How many 4-digit radio and television call letters can be formed using the 26 letters of the…

A: GIVEN: W or K must be the first letter.

Q: How many different 4-color code stripes can ba made on a sports car if each code cconsists of the…

A: From the provided information, Number of colours in strips = 4 For the first pick, there are four…

Q: Three circular cardboard disks have numbers written on the front and back sides. The front sides…

A: Consider the provided question, Suppose the back side number are x, y and z. Disk      Front…

Q: How many integers in {1, 2,..., 100} are not divisible by 7 or 5? (Give the exact number)

A: Find the number of integers in 1,2,...,100 which are not divisible by 7 or 5.

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

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

A: 1) There are total 7 letters, such that, Q, X, W, T, S, Z and Y.

Q: Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Given Information: Digits = 2, 4, 6, 7 and 9 To find how many five-digit numbers can be formed if…

Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

A:

Q: How many unique codes are possibly formed from two characters, where the first character can be 2 to…

A:

Q: Assume that X={G,E,D,A}X={G,E,D,A} and Y={5,6,1,2,7}Y={5,6,1,2,7}. A code consists of 2 different…

A:

Q: A) How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: For how many natural numbers k is it the case that Icm(6°, 8°, k) = 1212 ?

A: We have to find For how many natural numbers k is it the case that.

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: How many integers in {1,2, 3, ..., 99, 100} are not divisible by 7? (Give the exact number)

A: The given set of numbers is, 1,2,3,.....,99,100 The total no.of numbers from 1 to 100 is, 100 The…

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: 22. Each symbol in the Braille code is represented by a rectangular arrangement of six dots, each of…

A: Given: We must find the entire number of symbols represented in braille code by raising at least one…

Q: Find the number of distinguishable permutations of the digits of the number 228,434.

A: Write the number in frequency format: Numbers Frequency fi 2 2 8 1 4 2 3 1 Total…

Q: Consider 4 digit numbers with each digit from the set {1,2,3,4,5,6,7,8,9} a) How many such numbers…

A: Solution

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

A: To determine the total number of product codes satisfying different specified conditions

Q: How many unique codes are possibly formed from two characters, where the first character can be 3 to…

A:

Q: 4.The set of integers from 1 to 10 that is divisible by 3.

A:

Q: Without using a calculator, test for 60,330 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11 Is…

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: How many three-digit code can be made where the order of digits is not important? The possible…

A: Three digits code is to be prepared by  0,1,2,3,4,5,6,7,8,9. That is with the help of the 10 digits…

Q: Here are three boxplots on an unlabeled number line. A в Which boxplot has the following five-number…

A: It is a graph that shows five-number summary. The general boxplot is shown below:

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

A:

Q: 2.3 How many integers between 0 and 500: 1. Have distinct digits? 2. Are divisible by 3? 3. Are…

A: NOTE** As per bartleby guideline for more than three sub parts asked only first three are to be…

Q: Write C is the permutation contains condition and N if none. __ Five couples want to have their…

A: The arrangement of data can be calculated using the three methods. They are counting principle,…

Q: A palindrome is a number that reads the same forward and backward, such as 2,743,472. (a) Give a…

A: Solve the following

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: Without using a calculator, test for 60,330 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11 -Is…

A:

Q: by

A:

Q: How many five-digit numbers are there composed of different digits belonging to the set…

A: Givenset is {0,1,2,3,4}

Q: 2) Find the number of distinguishable permutations of the digits of the number 911 912 271. 3) In…

A:

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

A:

Q: Our aim is to check whether 131 is a prime number or a composite number. Which among the following…

A: You can solve the problem by using the test for the prime numbers as follows

Q: How many length-4 lists can be made from the symbols A, B, C, D, E that contains at least one letter…

A: