5 A combination lock can be opened by dialling three correct letters followed by three correct digits. How many different possibilities are there for arranging the letters and digits? Is this more secure than a lock which has seven digits? Is the word 'combination' being used correctly?

Q: 2. How many ways can 10 books be arranged in a shelf if one of them is a bible and it must be placed…

A: Given that, 2.  10 books be arranged in a shelf & one of them is a bible and it must be placed…

Q: A website requires users to set up an account that is password protected. If the password format is…

A:

Q: 6. A safe uses a code that is made up of two letters followed by three digits. How many possible…

A:

Q: A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2 digits. How…

A: Given:- A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2…

Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

A:

Q: 10. A tourist group visiting Las Vegas for 5 days would like to stay in 5 different hotels. If the…

A: There are 10 hotels and the people are staying for 5 days so the choice needs to be made of 5 hotels…

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: The English alphabet contains 21 consonants and five vowels. How many strings of six lowercase…

A:

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A:

Q: In each problem, please indicate what kind of permutations is involved, then solve. Show ypur…

A: Given that  1.. Seven runners join a race. In how many possible ways can they be arranged as first,…

Q: 8. Nine people are going on a skiing trip in 3 cars that will hold 2, 3, and 4 passengers,…

A:

Q: b) A website requires a password that consist of 6 alphabets and 6 digits. Find the number of…

A: A website requires a password that consist of 6 alphabets and 6 digits. There are totally 26 letters…

Q: combination lock will open when you select the right choice of three numbers (from 1 to 30,…

A:

Q: 2. In how many ways can a fragger, a sniper and a medic be chosen from among 7 soldiers? 3. Suppose…

A: As per bartleby guidelines expert have to answer first question only..

Q: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: This question is related to permutations and combinations, we will solve it  using given…

Q: Suppose that you have a combination lock that uses letters instead of numbers for its combination,…

A: Solution: The total number of letters is 26 and the lock will be opened with four letters and…

Q: How many possible lock codes are there if repetition of letters and numbers is not allowed?

A:

Q: Suppose you have 5 different flags available to make a signal.  How many ways can this be done if…

A: Given,Total no.of flags=5

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: or a social studies project students get to choose between 10 time periods, 4 essential questions,…

A: students get to choose : 10 time periods 4 essential questions 8 types of products

Q: Suppose a company needs temporary passwords for the trial of a new timè management software. Each…

A:

Q: A computer password consists of 4 small letters, followed by 4 numbers, 0-9 each. How many passwords…

A: 1. There are 26 letters and 10 numbers. the computer password consists of 4 small letters followed…

Q: 9. in a 5-digit numeric password, how many possible combinations are there if a digit cannot be…

A:

Q: (b) A password consists of 5 letters followed by 4 digits. How many passwords are possible if: (i)…

A: We have to calculate how many password is possible for each case .

Q: Motorcycle license plates in the state of California start with two digits(0–9), followed by one…

A: There are a total of 6 digits and one letter on the license plate and repetition is not allowed.…

Q: A password consists of 6 capital letters followed by 6 digits. If repetition is allowed, find the…

A: A password consists of 6 capital letters followed by 6 digits.  If repetition is allowed, find the…

Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

A:

Q: 2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are…

A: Here the repetition of letters and numbers are allowed.

Q: 4.) How many cards should you pick in a deck making sure that at least two of the cards will be…

A: Solution: 4) 41 There are 13 spades . So to ensure at least 2 spades are there are 41. Suppose 39…

Q: 3. License plates are made using 2 letters followed by 3 digits. How many plates can be made, if a)…

A: Given that  License plates are made using 2 letters followed by 3 digits. The license plate contains…

Q: Customer account "numbers" for a certain company consists of 22 letters followed by 44 single-digit…

A: In general, the number of digits is 10. They are, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Q: A computer operator must select 4 jobs from 10 available jobs waiting to be completed. How many…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: 9) License plates are made using 3 letters followed by 3 digits. How many plates can be made if…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: The company has agreed on an 8 character password format, comprised of upper case letters , lower…

A:

Q: he security department has decided that passwords must now be 8 characters. They are considering two…

A:

Q: 4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-…

A: Given: 4) License plates consist of 3 letters followed by 2 or three digits. To find: How many such…

Q: 1. A password consists of 5 letters (not case sensitive) followed by 2 digits. How many passwords…

A: 1. The password consists of 5 letters(not case sensitive) followed by 2 digits.

Q: Choose Wisely! 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and…

A: We have given that  Juniors = 5 Seniors = 7 Total = 12   Note: According to Bartleby expert…

Q: Theoretically, if you toss two coins together forty-eight times, how many times should you get a…

A: Given information Sample space when tossing two coins S = {(HH),(HT),(TH),(TT)} Two coins is tossed…

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: Given: Five couples want to have their pictures taken. In how many ways can they arrange themselves…

Q: To use an automated teller machine at a certain​ bank, you must enter a 5​-digit ​code, using the…

A: You can choose 1st digit in 9 ways.  For each of these 9 ways you can choose 2nd digit in 9 ways as…

Q: 4) An access code consists of a letter followed by four digits. Any letter can be used, the first…

A: Hi , you have posted multiple different question. As per the guidelines I am obliged to answer first…

Q: Standard passenger-car license plates in the state of Indiana contain 3 capital letters from the…

A: Given that, Standard passenger-car license plates in the state of Indiana contain 3 capital…

Q: we have a 70% chance of winning a game and play 80 times, how many games do we expect to win? Again,…

A: we have a 70% chance of winning a game and play 80 times, how many games do we expect to win? Again,…

Q: A large corporation is concerned with security and identity theft.  So, instead of using workers’…

A: Topic = Permutation and combination

Q: We want to divide 12 children into any number of playgroups. However, in order to avoid some…

A: Total number of children is 12. Each playgroups contains>1 members. 2 children in another group…

Q: 9. A customer ID consists of 3 digits followed by 2 letters. How many different customer IDs are…

A:

Q: If 4 Maths books are selected from 6 different Maths books and 3 English books are chosen from 5…

A: Solution  Given That,  If 4 Maths books are selected from 6 different Maths books and 3 English…

Q: 4. A photographer is taking a picture of a bride and a groom, together with six sponsors. How many…

A: 4) There are 8 people in total i.e., 6 sponsors and one couple. We are asked to find the number of…

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.