The college decided that a more secure password system is needed. New passwords must have 3 numerical digits followed by 3 letters. There are no restrictions on the selection of the numerical digits. However, the letters I and O are not permitted. How many different passwords are possible?

Q: The password for a new online gaming site must contain three letters followed by four digits. The…

A: Given that there are 3 letters in the password and the letters can not repeat. There are 26 letters…

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

A:

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

A:

Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

A:

Q: There are 6 athletes at a track meet. How many different ways can they finish first or second?

A: Answer:- Given, Total number of athletes at a track meet = 6  We need to find the number of ways can…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: Of 20 possible books, you plan to take 9 with you on vacation. How many different collections of 9…

A:

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

A:

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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: 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: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

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: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Outside a home, there is a 5-key keypad with letters A, B, C, D and, E that can be used to open the…

A: 5 key keypad with letter A,B,C,D,E.the key can be used to open the garage if the correct five-letter…

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 7 patients…

A: Given Number of patients=7

Q: password contains 2 letters and 2 digits.  How many passwords are possible if repetitions are NOT…

A: The number of letters is 2 and the number of words is 2.

Q: License plates consist of 3 letters followed by a 3-digit whole number. How many different license…

A: Given information: License plates consist of 3 letters followed by 3-digit whole numbers.

Q: A seven chats he insurance account number must be five letters of the alphabet followed by a…

A:

Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: When Navya was cleaning up her room, she found four types of items: legos, dolls, origami cranes and…

A: We formulate 4 equations from the given data and then solve each variable.

Q: A bag contains six white marbles and five red marbles. Find the number of ways six marbles can be…

A: Given The given number of marbles are White marbles=6 Red marbles=5

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

A: Here we have to number of five letter call letters starting from W

Q: You Have seven magazine with useful information in it. How many ways can you choose five articles to…

A: You Have seven magazine with useful information in it. How many ways can you choose five articles to…

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: There are 24 students playing basketball at lunch. How many different three-person teams can be…

A:

Q: A salesperson wants to display five bracelets in the store window. There are a total of nine…

A: Total no.of bracelets=9

Q: A class of 15 students will chose between style of course text book; one text for each student. The…

A:

Q: You must choose an elective for your fourth block class. You can choose from 3 different physical…

A: 3 different physical education classes, 4 different computer classes  2 different culinary classes…