When you start your new job, you will be assigned an Employee Identification Number. If this number is 2 letters followed by 4 digits, how many possible employees can your new job accommodate?

Q: A high school student needs 9 more classes to graduate.  If she has met the prerequisites for all…

A: Given information Students need 9 more classes to graduate No of class periods to fill = 5

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: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

Q: How many different license plates can be made if each is to display 3 numbers and 3 letters?

A: We have to find out no. Of ways...

Q: From 4 boys and 8 girls, the number of ways can 6 be chosen, (i) to include only one boy. (ii) to…

A: 12 children, in which 4 boys and 8 girls and we want to chose 6 children

Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

A:

Q: In Virginia, each automobile license plate consists of a single letter followed by three digits,…

A: 10×26×26×26×10×10×10

Q: If a chicken and one half lays an egg and one half in a day and one half, how may eggs will 30…

A: According to the provided information, 1.5 chicken lays 1.5 egg in 1.5 days.That is, 1.5 eggs = 1.5…

Q: the largest of 81 consecutive integers is 327, what is the smallest

A:

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

A:

Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

A:

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

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: If 1/2 of a number, 1/3 of the number, 1/4 of the number, and 2/7 of the number are added together,…

A:

Q: In a school with 300 students, 110 live with their Biological father and 250 live with their…

A:

Q: I have nine paintings and have room to display only four of them at a time on my wall.  How many…

A:

Q: You have an ID number containing from 9 digits. How many IDs get the 1. number "6" as their second…

A:

Q: The average age of 4 siblings is 12.5 years. If 3 of the siblings are 12-year-old triplets, how old…

A:

Q: A time traveler can take 5 books with him, and he has 76 books to choose from. How many different…

A:

Q: a shelf holds 2 english books, 3 history books and 4 math books. In how many ways can you arrange…

A: Given : Number of English books = 2 Number of history books = 3 Number of Maths books = 4

Q: You have an ID number containing from 9 digits. How many IDs get the number “6” as their second or…

A: The set A or B is represented as A∪B . The set A and B is represented as A∩B .

Q: When a number is decreased by 20% of itself, the result is 20. What is the number?

A: Let x be the number. Given that x is decreased by 20%. Then, 80% of x is left which can be written…

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: The new license plates in Georgia have 3 numbers followed by 5 letters.  The number 0 cannot be used…

A: It is given that, the new license plates in Georgia have 3 numbers followed by 5 letters. Note that,…

Q: When a number is decreased by 20% of itself, the result is 48. What is the number? The number is

A: Let the number is 'x'. A number is decreases by 20% of itself; it means that: y=1-20100xy=0.8x

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 state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

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: If 14 more than a number is 12, what is the number?

A:

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: When a number is decreased by 30% of itself, the result is 28. What is the number?

A: We have to find the number when it is given that when this number is decreased by 30% of itself,the…

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Given: There are 33 Democratic senators and 67 Republican senators. Find the number of ways in which…

Q: In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a…

A: This is a problem of conversion and counting. Interestingly reducing dimensions is another aspect of…

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: Each student at State University has a student ID number consisting of five digits (the first digit…

A: Solution: From the given information, a student ID number consisting of five digits followed by two…

Q: 1. Rahul and Rohan have 45 marbles together. After losing 5 marbles each, the product of the number…

A: The given problem is to find how many marbles does rahul and rohan had using the given conditions.…

Q: a school with 300 students, 110 live with their Biological father and                     250 live…

A:

Q: A time traveler can take 4 books with him, and he has 98 books to choose from. How many different…

A:

Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

A: given digits:  0 2 4 6 8 to find :  how many number greater than 60, 000 can be formed also…

Q: Two common names for streets are First Street and Main Street, with 15,063 streets bearing one of…

A: Let's find.

Q: How many automobile license plates can be made if each plate contains two letter followed by 3…

A: Given: Number of digits in a license plate = 3 Number of letters in a license plate = 2

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: A forty-page newspaper, which consists of only one section, has the sheet with page 7 missing. What…

A:

Q: If the first chapter of a certain book is 48 pages long and makes up 4% of the book, how many pages…

A:

Q: You have an ID number containing from 8 digits. How many IDs get the number “5" as their second or…

A: digits are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9   (total 10)  so for ID containing 8 dugites we will have…

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: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!