we usually write numbers in decimal form (base 10), meaning numbers are compose using 10 diffrent digits' {0,1,......9} sometimes though it is useful to write numbers hexadecimal or base 16. now there are 16 distinct digits that can be used to form numbers: {0,1,....,9,a,b,c,d,e,f}. so for example, a 3 digit hexadecimal number might be 2b8   how many six digit hexadecimalare there in witch the first digit is E or F how many 5 digits hexedecimal start with a letter (a-f) and ends with a numeral (0-9)

Q: What is A two digit composite number divisible by both 5 and 9

A: The two digit composite number divisible by both 5 and 9 is obtained by first writing down the…

Q: What is imginary number

A: Imaginary Numbers: An imaginary number is a number that has a negative result when it is squared. In…

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: A seven-character insurance account number must be four lowercase letters of the alphabet followed…

A: The number of lowercase letters in the alphabet is 26.

Q: ow many unique ways are there to arrange the letters in the word PRETTY?

A:

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: 2. In how many numbers with seven distinct digits do only the digits 1-9 appear?

A:

Q: 7. We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10…

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

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

Q: Could you please explain to be what the numbers (3 * 0.01667 * 0.6988) represent in number 2 and (3…

A: For the existing solution, we need to explain the calculationn of question number 2 and 3.

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: Find the general solution of the differential equation. Then, use the initial condition to find the…

A:

Q: Suppose we want to form four-digit numbers using the set of digits {0,1, 6, 7, 9}. For example, 9071…

A: The first number can be selected in 4 ways. [ Any number from {1,6,7,9} ] The second number can be…

Q: What is the place value of digit 2 in 42175 base of- seven? (Write an answer as whole number)

A: In the number 42175, the digit 2 is in the third position from the right. In base seven, each…

Q: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10…

A: Given that, there are 16 distinct digits that can be used to form numbers: (0,1,....9, A, B, C, D,…

Q: Assume that we have numbers from 0 to 9 in a small box (0,1,2,3,4,5,6,7,8,9); there is only one from…

A: Solution:-To determine the number of 5-digit numbers that can be generated respecting the given…

Q: how would you input this on ti 84 plus

A: The sample means are 7.8 and 3.5.

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: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

A:

Q: How many whole numbers are there with exactly 5 digits that can be written using only the digits 8…

A: no. of whole number possible with exactly 5 digits from digits 8 and 9 = ?

Q: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10…

A: The objective is to form the letters asked in the question, using the {0,1,...,9,A,B,...,F}.

Q: How many three-digit numbers can be formed by using the numerals in the set {1,2,4,5,6,7} if…

A: Hence,three-digit numbers can be formed by using the numerals in the set {1,2,4,5,6,7} if repetition…

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

A:

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.