The number ‘three’ has lots of different names. Give names satisfying the following properties. There may be more than one correct answer. a) The ‘standard’ name b) A name using a plus sign, + c) A name using a minus sign, -

Q: How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can…

A: From the given data, the digits that are used for the formation of numbers are : 0,1,2,3,4,5 & 6

Q: If a number is not divisible by 6, then it is not divisible by 3. true or false

A: If a number is not divisible by 6, then it is not divisible by 3.

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: Given data: The total numbers are n=7. Case-1 The total 3 digits numbers that can be formed from the…

Q: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: if these five numbers form a pattern such that the differernce between each pair of numbers is the…

A:

Q: How many six-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: From the given information,Sample space = {0,1,2,3,4,5,6,7,8,9}It has been given that the leftmost…

Q: A license plate is to consist of 4 digits followed by 2  uppercase letters. Determine the number of…

A: Solution-: Given: A license plate is to consist of 4 digits followed by 2  uppercase letters. We…

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6. If each number is used only…

A:

Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

A:

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: How many five​-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: To count the number of 5 digit integers satisfying the given conditions

Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A: There are 24 choices for each letter. (this explanation was already shown in the image you shared)…

Q: How many distinct 8-letter words (real or imaginary) can beformed from the letters in the word…

A:

Q: Write the number 6 as a sum of three natural numbers in several different ways, and, in each sum,…

A: To be solved - Number 6 as a sum of three natural numbers in several different ways, and, in each…

Q: How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 (a) if each digit…

A: We have to find total number of four-digit numbers :

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6. If each number is used only…

A: Given: Numbers used = 2, 3, ,4, 5, 6 Numbers greater than 530 is required to be found. No digit is…

Q: If a number is divisible by 8, then it is divisible by 4. true or false

A: We can answer the question as below.

Q: Melchizedek needs to make a password for his savings account. The password has to be 5 characters…

A: The permutation with repetition of objects can be written using the exponent form. When the number…

Q: A certain number is doubled and then divided by 8. If after subtracting 4 from this result, one gets…

A: The statements involving algebraic operations and expression namely addition , subtraction ,…

Q: ou are to form a 4-digit number from the digits 1, 2, 3, 4, 6, and 8, using each at most once. How…

A:

Q: ) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student…

A:

Q: list down 10 examples each for inductive and deductive reasoning

A: Inductive reasoning:--- 1. The cost of goods was $1.00. The cost of labor to manufacture the item…

Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

Q: How many different words, real or imaginary, can be formed using all the letters in the word…

A:

Q: The number of positive integers not exceeding 750 that are divisible by 3. 4. and 7 is: *

A:

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: Find the number of possible four-letter code words, selecting from the 26 letters in the alphabet,…

A: From the provided information, Total letters = 26 Four letter code words is formed.

Q: How many 9 digit numbers are there that use each of the digits 1,2,3,4,5,6,7,8,9 exactly once?

A: To form a 9 digit number We know that each 9 digit places are must be one of the 9…

Q: assume that you are trying to transmit a secret code using 3 letter words. if only 5 letters of the…

A: Given only 5 letters of the alphabet can be usedNO.of alphabets =5No.of words should be in secret…

Q: 2 11

A: Given query is to find the solution using number line .

Q: You need to have a passwork with 6 letters followed by 2 odd digits between 0 and 9 inclusive. If…

A: The answer is attached below,

Q: Suppose a 4-digit number will be formed from numbers 0,1,2,3,4,5,6,7,8, where each digit can only be…

A: Given, 4 digited numbers are to be formed from 0,1,2,....,8 without repetition. These numbers must…

Q: Some automobiles have four-button locks. To gain entry, push each of the four buttons, in a…

A: We have find four button...

Q: How many five digit numbers containing each of the digits 1,2,3,4,5 exactly once are divisible by…

A: * SOLUTION :-  From the given information the calculation as follows .

Q: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is…

A: If the 3 digited number is greater than 300, then it will start with the numbers 3, 4, 5, 6, 7, 8.…

Q: You need to have a password with 6 letters followed by 2 odd digits between 0 and 9, inclusive. If…

A: In this context, it is appropriate to have a password with 6 letters followed by 2 odd digits…

Q: How many four-digit even numbers are possible if the leftmost digit cannot be​ zero?

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: “If the product of two counting numbers is an even counting number, then both of the counting…

A:

Q: Each student at State University has a student ID number consisting of five digits (the first digit…

A: Solution: From the given information, a student ID number consisting of five digits followed by two…

Q: How many three-digit odd numbers are possible if the leftmost digit cannot be zero?

A:

Q: The digits 1,2,3,4 and 5 are to used to form a five-digit number. How many different numbers can be…

A: Given data: Digits  to use = 1,2,3,4 and 5 to form five digit number  To find: The number must be…

Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

Q: Find five consecutive odd integers such that when the fifth is subtracted from eigt times the…

A: We're going to solve

Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

A: given digits:  0 2 4 6 8 to find :  how many number greater than 60, 000 can be formed also…

Q: How many even three-digit numbers can be formed from the digits 1,2,3,5,6,8 and 9 if each digit can…

A:

Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if order is…

A: There are 5 vowels and 21 consonants. Here, the order is important.

Q: many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be…

A:

Q: Why the number 73 is a symmetric number

A: We need to show why the number 73 is a symmetric number.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.