Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many possible passcodes do you have to choose from if he has a 6-digit passcode? There are no restrictions. How many possible iPhone lock combinations are there between all 6-digit and 4-digit pass codes combined?

Q: If a call center receives 2000 calls, how many customers will be on hold for more than 12 minutes? .…

A: We have given that  Mean=13.6 Standard deviation=1.7 X~Normal(mean=13.6 , Standard deviation=1.7)

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

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: The guidance department has reported that of the senior class, 2.3% are members of Key Club, K, 8.6%…

A: Solve

Q: A car dealership offers 10 different upgrades with each of the vehicles it sells. If a customer can…

A: Given data; A car dealership offers 10 different upgrades with each of the vehicles it sells.  To…

Q: Kara did a survey to determine to study the types of pets that students in her school had. She…

A:

Q: A woman has ten skirts and five blouses. Assuming that they all match, how many different…

A:

Q: A lottery has one $100 prize, two $25 prizes and five $10 prizes. What should you be willing to pay…

A:

Q: In the past, a college required students to use a 4 digit PIN (Personal Identification Number) as…

A:

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

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: 3. My parents just started their digital music collection. If they have put cd's by 4 different…

A: 3) Given, Parents have put cd's by 4 different groups on their mp3 player. We have to find how many…

Q: In the UTAS-Ibri with 1000 students, 392 students are taking a course in Mathematics, 498 are taking…

A: Given - In the UTAS-lbri with 1000 students , 392 students are taking a course in Mathematics, 498…

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

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

A:

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: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

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

A:

Q: The park rules require that on duty for every 50 people who visit the parl How many guards should be…

A: The park rules require that one security guard be on duty for every 50 people who visit the park.…

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: As a television executive, you have been given 24 shows to choose from to run during your prime time…

A:

Q: A girl has 9 skirts, 4 blouses, and 6 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: 5) Given that the girl has 9 skirts, 4 blouses and 6 pairs of shoes. Total number of ways 9+4+6=19…

Q: At the beginning of 2002, an ice cream shop claimed to have "nearly 1,050 different ice cream…

A:

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: ristin Wilson lives in Anderson​, South​ Carolina, and wishes to visit relatives in the following…

A:

Q: The cafeteria is serving french toast, cereal, and fruit. If a student may choose any two of those…

A:

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: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

Q: You need to have a password with 4 letters followed by 4 even digits between 0 and 9, inclusive. If…

A: There are 26 letters for the first choice, 25 for the second, 24 for the third, 23 for the fourth.…

Q: 4 were on time and 2 were late, how many of the next 12 trains would you expect to be on time?

A: The probability that the train would be on time is, Pon time=46=23 The probability that the train…

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: There are 4 roads leading from Bluffton to​ Hardeeville, 9 roads leading from Hardeeville to​…

A: Given the number of roads leading from Bluffton to Hardeeville=4 The number of roads leading from…

Q: A fan of country music plans to make a custom CD with 14 of her 26 favorite songs. How many…

A:

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 witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: The first letter has only one(A) chance, the second letter has 26 ways, the third letter has 26…

Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

A:

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: James is choosing a Four-digit Passcode for his smartphone. How many different Passcodes are…

A:

Q: If there are 9 apples and my sister ate 3, how many apples are left?

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 27. If there are no restrictions on the…

A:

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.