If you have an ATM card, you probably have a PIN consisting of four numbers. Determine how many different four number PIN numbers there can be. (Remember that there are 10 possible digits for each of the numbers, since you can choose 0-9 for each number) (Hint: the answer is NOT 40).

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: When you start your new job, you will be assigned an Employee Identification Number. If this number…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Find the following quiz average for a class of 20: On a quiz worth 5 points, four students earned a…

A: Given: Number of students = 20 Number of students earning 5 = 4 Number of students earning 4 = 7…

Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

A:

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: A combination lock uses 4 numbers, each of which can be 0 to 26. If there are no restrictions on the…

A:

Q: A combination lock uses 3 numbers, each of which can be 0 to 31. If there are no restrictions on the…

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

Q: Outside a home, there is a 4-key keypad with letters A, B, C, and D that can be used to open the…

A: Given Outside a home , there is a Keypads with letter= A,B,C,D Number of codes=4

Q: How many options do you have for a 10-digit password of 26 letters?

A: to find number of option for a 10-digit password of 26 letters

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: please show me the solution and answer. A club consists of 10 men and 13 women. In how many ways…

A:

Q: A job interviewer has set 10 questions with four answer options and one correct answer. In how many…

A: The number of ways for two events to occur in a sequence is p×q. Here, p is the number of ways the…

Q: Solve by the method of your choice:How many different four-letter passwords can be formed from the…

A: If repetition of letters is not allowed, we will use Permutations to find the number of…

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 24. If there are no restrictions on the…

A: Given information- We have given that a combination lock uses 4 numbers, each of which can be 0 to…

Q: If I am creating a 5-digit number combination, how many combinations will be created if the first…

A:

Q: The gate code at your apartment complex is three numerical digits followed by the “#” sign. If each…

A:

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: In the Americas, automobile license plates contain two letters, followed by four digits. How many…

A: Given,no.of letters=26no.of digits(0 to 9)=10

Q: An executive as 8 skirts, 8 jackets, and 10 blouses that all coordinate. If an outfit consists of…

A: Given, Number of skirts=8 Number of jackets=8 Number of blouses=10 An outfit consists of 1 skirt, 1…

Q: A fan of country music plans to make a custom CD with 12 of her 25 favorite songs. How many…

A: Given dataTotal songs N = 25 No of combinations for size 12 is given by

Q: Radio stations that are on the west side of a nation have call letters consisting of a K followed by…

A: The first letter is fixed with Z and is then followed by 4 letter( repetition allowed) Then,

Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

A:

Q: There are 3 women and 8 men signed up to join a salsa dance class. In how many ways can the…

A: To solve the following problem

Q: A boy owns 5 pairs of pants, 3 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: There are 5 pairs of pants 3 shirts 2 ties 2 jackets The boy must wear one of each item.

Q: When five is added to three more than a certain number, the result is 19.What is the number?

A: Let the number be x When five is added to three more than a certain number = 3x + 5

Q: You need to have a password with 55 letters followed by 22 odd digits between 00 and 99, inclusive.…

A: In this context, it is appropriate to have a password with 5 letters followed by 2 odd digits…

Q: A combination lock uses 4 numbers, each of which can be 0 to 36. If there are no restrictions on the…

A: Here, it can be observed that all numbers are independent of each other.

Q: In the game of football, a team can score either a touchdown for six points or field goal for three…

A: The objective is to look for scores which cannot be achieved if the team scored under 30 points. It…

Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

A:

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: When you get to college you will be assigned a new Student Identification Number. If this number is…

A: Given, Student Identification Number has number is 9 digits long followed by 2 letters . We have to…

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: A lock uses the letters A through H on the first dial and the digits 0 through 9 on the second and…

A:

Q: in a row on his bedroom wall, but only has space for 5 of them. If his favourite poster must go in…

A: In how many ways can Liam put the posters up :

Q: A man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: A student has an average of 88 on seven chapter tests. If the student's score on six of the tests…

A:

Q: For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize…

A: Given,no.of different kinds of candy=8

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven digit…

A:

Q: A bicycle lock has three reels, each of which contains the numbers 0 through 9. To open the lock,…

A: A bicycle lock has three reels.

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: When you get to college you will be assigned a new Student Identification Number. If this ID is 5…

A: The number of ways to select r objects out of n is given by the formula nCr=n!r!(n-r)!. Therefore,…

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 6

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.