Counting numbers are to be formed using only the digits 6​, 7​, and 8. Determine the number of different possibilities for the type of number described below.

Q: the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if each element can…

A: We have to solve given problem:

Q: 5. How many integers from 1000 through 9999 must you pick in order to be sure that at least two of…

A: Considering the integers from 1000 to 9999, which are all 4-digit integers. There are 10 possible…

Q: How many ways you can draw 3 balls in a box of 5 balls, if we replace the ball in box after being…

A: Permutation: It means number of arrangements  be obtained  It is denoted by P(n,r) or Prn where n is…

Q: Use the Fundamental Counting Principle to solve:A popular brand of pen is available in three colors…

A: Given, A pen available in three colors red, green , or blue and, four writing tips bold, medium,…

Q: Solve each problem using the given techniques in counting. 1.) In how many ways can 5 people…

A: Note: As per bartleby guideline for more than one question only first is to be answered please…

Q: How many different 9-digit phone numbers do not contain the digit 9? Assume that any digit in the…

A: Given data÷ How many different 9-digit phone numbers do not contain the digit 9. Assume that any…

Q: How many numbers less than 100 can be formed using only even-numbered digits, and repetition of the…

A: Given that : How many numbers less than 100 can be formed using only even-numbered digits, and…

Q: Use the fundamental counting principle to solve parts​ (a) and​(b). ​(a) In a certain​ state,…

A: Using the fundamental counting principle, it can be written that if there is a sequence of…

Q: 20 applicants from a pool of 90 applications will be hired. How many ways are there to select the…

A: There are total 90 applications and we have to select 20 applicants.   So we have to find the number…

Q: How many four digits numbers can be made using 1, 2, 3, 4 and 0? Caution: your numbers cannot start…

A: 9

Q: 5. Forming 3-digit numbers from the digits 1, 2, 3, 4, and 5, if repetition is allowed; if…

A: Given that there are 5 digits 1, 2, 3, 4, 5. And if repetition is allowed then forming the 3 digit…

Q: What is one of the main reasons why prime numbers are important? O They help cities coordinate their…

A: Given, importance of prime number.

Q: 1. Give examples of two prime numbers and two composite numbers? 2. Give an example of a whole…

A: To find two prime numbers and composute numbers examples and also determine the number that is a…

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: Use the counting principle to determine the number of possible ways to complete the entire…

A: We will solve the question using the counting principle. That is, we will count in how many ways the…

Q: How many different 7-digit phone numbers do not contain the digit 8? Assume that any digit in the…

A: we know that we have 10 digits 0,1,,2,3,,4,5,6,7,8,9 if we do not use digit 8 then we left with9…

Q: Using the 26 uppercase letters of the English alphabet: (a) How many 21-letter words contain the…

A: (a) SOMETIME → 8 letterstwice of SOMETIME →2 x 8 = 16 lettersWe have to make 21 letter words21-16 =…

Q: How many different 8-digit phone numbers do not contain the digit 9? Assume that any digit in the…

A: Please rate and feel free to ask any query about any part of the question.

Q: How many different 7-digit phone numbers do not contain the digit 88? Assume that any digit in the…

A: Note: Hi there! Thank you for posting the question. As some information in the question seems to be…

Q: Counting numbers are to be formed using only the digits 2, 1, 4, 8, 9, 6, and 3. Determine the…

A: The objective is to determine the number of different possibilities for​ two-digit numbers which are…

Q: Find what is asked for each item. 1. The Fibonacci numbers were first introduced in Fibonacci's…

A: Given÷ When fibonacci numbers were introduced first Liber abaci in a question to find population of…

Q: How many different 8-digit phone numbers do not contain the digit 7? Assume that any digit in the…

A:

Q: Counting numbers are to be formed using only the digits 9,4,8,1 and 2. Determine the number of…

A:

Q: How many 5 character-license plates can be made if the first 3 characters are letters and the last 2…

A: Here Given for 5 character license plate First 3 are characters and last 2 are Numbers  Here…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5? 12 120 24

A: We have given that the digits 1, 2, 3, 3, 5.

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: a. the base-ten number ___is represented by this abacus b. the base-ten number ___is represented by…

A: A)    Ten Thousand Thousands Hundreds Tens Ones Beads 0 0 0 4 0   The base-ten number 40 is…

Q: Using the digits 1, 2, 3, and 4, allowing for repetition:…

A:

Q: How many 5 digit numbers can be formed without repeating any digit, from the following digits 3, 4,…

A:

Q: Find the value of the factorial. 7! 7! = (Type a whole number.)

A: In this case, we need to find the value of factorial of 7.

Q: number system is with base 8. Select one: a. Octal O b. Hexadecimal o C. Decimal

A: number system is with base 8.

Q: [-1 3 { 2 (5-2) (5²-45 +13) -> (1)

A:

Q: Hexadecimal numbers are made using the sixteen digits 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. a. How many…

A: number of options for  1st digit = 16number of options for 2nd digit = 16number of options for 3rd…

Q: Answer permutation problem completely. Show complete solution. How many 4-digit numbers can be…

A:

Q: What is prime number

A:

Q: 5 elementary classes will be chosen to participate in a school activities survey.  There are  23…

A: The possible ways can be calculated using the combination formula: In this case, n=23 r= 5

Q: (a) Suppose we want to test whether or not the number 217 is prime. List the minimum amount of…

A: A prime number is a number that is divisible only by 1 or itself. So, to test whether the number 217…

Q: Using the letters in the word “SQUARE”, How many 6-letter arrangements, with no repetitions, are…

A: In the word SQUARE, there are 3 vowels A, E, U. And there are 3 consonants S, Q, R. There are total…

Q: Uning the digits 5, 6, 7, 8. How many 4 digit numbers can be formed (Repetition not allowed).

A: Given that  Four digits 5,6,7,8 we have to form 4 digit number using these numbers

Q: 38) To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55…

A: We have to find the number of selections possible.

Q: The natural numbers are l PEN N={1,2,3,...). The prime numbers are P= {2,3,5,7...}. True or false?…

A:

Q: Using the digits​ 0, 1,​ 2, ...8,​ 9, determine how many 33​-digit numbers can be constructed…

A: Consider the provided question, The given digits are 0, 1, 2, 3,…, 8, 9. Determine how many 3 digits…

Q: using permutation or combination How many different license plates are possible if each plate…

A: Let us assume there are three final year students A, B and C sitting beside each other. The possible…

Q: Two digit natural numbers are formed, with replacement, from digits 0 through 9. How many numbers…

A: We have to find no. of favourable outcomes.

Q: Counting numbers are to be formed using only the digits two, six, seven, nine, one and eight…

A: We have to find number of two digits number posible

Q: Forming 3-digit numbers from the digits 1, 2, 3, 4, and 5, if repetition is allowed; if repetition…

A: Given that there are 5 numbers 1, 2, 3, 4, 5. And given that if repetition is allowed: Then the…

Q: the addition principle to determine how many integers in the list: 1,2,4•••,9999

A: Given :  list: 1,2,4•••,9999   Total Integers  = First digit - Last digit + 1   Total Number of 1…

Q: a) Using only the numbers 0, 1, 2, 5, 6, 7, and 8, determine how many 4 digit natural numbers are…

A: How many 4 digit natural numbers are possible using 0,1,2,5,6,7,8

Q: How many different 8-digit phone numbers do not contain the digit 6? Assume that any digit in the…

A: To determine how many different 8‐digit phone numbers do not contain the digit 6. Assume that any…

Q: The natural numbers are N= {1,2,3,.}. The prime numbers are P = {2,3,5,7..}. True or false?…

A: The given set of natural numbers and primes numbers are ℕ=1,2,3,... and ℙ=2,3,5,7,... respectively.…

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.