a. How many different license plates did this system​ allow?   b. More license plate tags were obtained by reversing the​ procedure, starting with three digits followed by four letters. How many new tags did the new system provide?   c. Since the new tag numbers were added to the old numbers, what is the total number of licenses available for registration in the​ state?

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: company has 10 members on its boards of directors. In how many different ways can the board elect a…

A: given data, a company has 10 members on its boards of directorsselect a president, vice-precident,…

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

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: The Liberty County Poetry Society awarded 3 different prizes 1 each for 1st, 2nd, and 3rd place…

A: The first prize can be given in 56 ways Second prize in 55 ways Third prize in 54 ways

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit number)

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: Maria has seven different skirts, five different tops, ten different pairs of shoes, four different…

A:

Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

Q: A new smartphone comes in five colors, two screen sizes, and four different data plans.  In how many…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: how many ways are there to arrange the letters in the word BAGGAGE.

A: The objective of this question is to find out the number of ways the letters in the word 'BAGGAGE'…

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.