a) How many different possible license numbers are possible? b) What is the number of possible license numbers if letters cannot be repeated and the digit 0 cannot be used? Thank you!

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: 1. Find the number of ways that 7 lecturers in the CIE review be assigned to 3 classes if no…

A:

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Problem 2: A committee of 5 is to be formed from 10 women and 7 men. a) How many ways a committee is…

A:

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at…

A: Given: There are 124 students and 4 sections Section 1 must have at least 30 students, section 2…

Q: 2. Five boys and four girls are waiting for the MRT to arrive at Guadalupe Station. In how many ways…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 4-person grievance committee is to be selected out of 2 departments, A and B, with 15 and 25 people.…

A:

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A:

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

A: It is given that, a small combination lock on a suitcase has 4 wheels, each labeled with the 10…

Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

A:

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

A: There are 26 letters and 10 digits. The license plate of the car in the accident contains three…

Q: A club with nineteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Permutation:   It is nothing but  an arrangement of objects with the definite order.   Let n is the…

Q: When we are considering n objects taken r at a time, with r . 1, why will the number of combinations…

A: "When we are considering n objects taken r at a time, with r . 1, why will the number of…

Q: A computer password must be 3 letters followed by 5 digits (0 through 9). How many different…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (d) Suppose two team members insist on either working together or not at all on projects. How many…

A: A computer programming team has 9 member. (d) Suppose 2 team member insist on working together or…

Q: box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch…

A: Given, Square base No top Volume= 48 cubic inches

Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A:

Q: In a certain state, all car license plates have four capital letters followed by three digits.…

A:

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A: Given that Suppose in a university, each subject offered to students has a subject code consisting…

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

A:

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: 1. The license plates for cars in Nova Scotia typically have 6 digits. The first three digits are…

A:

Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

A:

Q: ose a board of 5 men and 5 women and that a committee consisting of 7 board members is to be formed.…

A: Given that  Number of men = 5 Number of women = 5 Committee must consists of 7 board members A…

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A: There are totally 10 digits, the first digit has 9(Because first digit is nonzero) choices. Since…

Q: Suppose we want to choose 5 objects, without replacement, from 18 distinct objects. a) If the order…

A: Given,Total no.of distinct objects=18

Q: f any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to…

A:

Q: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

A: Given data current rules for telephone area codes allow the use of digits 2-9 for the first digit…

Q: For traveling salesman problem applied to 5 cities (including the home city), how many tours are…

A:

Q: Each employee at a large company is to be issued an ID number; the ID number is to consist of one…

A: Digits sequence '000' taken as valid ID, if not one less from the answer below. There is no such…

Q: a) How many ways are there to do this?

A: nCr=n!r!(n-r)!

Q: A student is told to work any 8 out of 15 questions on an exam. In how   many different ways can he…

A: He will pick a group of questions. The arrangement will not matter, so we will use the combination…

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Solution:There is 60 people in a surveylet xbe 25 theread Manila Bulletiny be 26 the read Philippine…

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: A committee of size 5 is to be chosen from a group of 6 men and 7 women. (a) How many different…

A: Given that 6 men and 7 women. Total people = 6 + 7 = 13

Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…

Q: 10. A committee of gize 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: If we have to fill n boxes with no repetition with n objects then then there are…

Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

A:

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: 2. A plate number is made up two consonants followed by How many plate numbers are possible. a. if…

A: A plate number is made by two consonants, three non-zero digits and vowel.

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively.…

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations…

Q: By using seven points, no three of which are collinear, how many different lines are determined?…

A: Given in the question; There are seven points ,no three of which are collinear. To draw a line need…

Q: 2. a) How many ways can a psychology student select 5 subjects from a pool of 20 subjects and assign…

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Q: 1. Assuming that any skirt can be paired with any blouse, in how many ways can Anna select her…

A: Here close friend invited Anna to her birthday party. Anna has 4 new blouses (stripes, with ruffles,…

Q: 2) Phone numbers consist of a three-digit area code followed by seven digits. If the area code must…

A: Given information- We have given that a phone number consist of a three-digit area code followed by…

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.