Suppose each license plate in a certain state has four letters followed by two digits. The letters I, O, Q,  and U and the digits 0, 1, 2, and 3 are not used. So, there are 22 letters and 6 digits that are used

Q: How many 3-letter codewords can be formed if: At least one of the letters is to be chosen from the…

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Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A: A license plate has four letter letters followed by two digits excluding I, O, Q, U and 0, 1, 2, 3.

Q: A department store wants to send codes for $15 off a $75 purchase to the subscribers of its e-mail…

A: Given Information:  There are 23 letters to be used and 10 digits to be used to create a code To…

Q: A company is creating three new divisions, and seven managers are eligible to be appointed head of a…

A: No. of Managers = 7 No. of positions = 3

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: As we want our 3-digit number to be divisible by 5, the number 5 will be fixed on the unit's place…

Q: A pass code for an account consists of 2 letters followed by 3 symbols. If letters may be chosen…

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Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: How many 7-character license plates are possible if the first three characters must be letters, the…

A: Given,no. of letters= 26no. of digits from 0-9= 10

Q: Given the characters A,B,C,H,I,T,U,V,1,2,3,and 4, how many seven character passwords can be made? (…

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Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

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Q: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: The answer is attached below,

Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A: Given that the license plate has two digits followed by two letters again followed by two digits. Q…

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

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

A:

Q: Suppose that in a particular Finite course, 5/14 of students plan on majoring in math, 11/42 plan on…

A: Given information- We have given the proportion of particular Finite course. P (Major in math) =…

Q: A sonnet is a 14-line poem in which certain rhymingpatterns are followed. The writer Raymond…

A: a). How many sonnets can be created from the 10 in the book? There are 10 possibilities for each 14…

Q: In a certain get together, there was a basket of fruits for every three guests, a basket of cookies…

A: Let the number of fruit baskets be x, the number of cookies baskets  be y and the number of chips…

Q: A 4-sided die with numbers 1, 2, 3, 4 on the faces, is rolled n times in row, and the numbers that…

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Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

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Q: Determine if each is a permutation or a combination and then evaluate. How many four-letter words…

A: From the provided information, The four-letter words will be formed from the first letters of the…

Q: A four digit marathon race number is generated using only the digits 0, 1, 2, 3, 4, 5.  If…

A: We need four-digit race number and each place can be filled by 0, 1, 2, 3, 4, & 5

Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A:

Q: How many permutations of a 7-digit phone number exist, assuming that numbers may be repeated and any…

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Q: A technology company is going to issue new ID codes to its employees. Each code will have two…

A: We have to find out answer of given question....

Q: Suppose that in a particular class of 135 students, 45 of them are majoring in math, 60 of them are…

A: Let, A be the students who are major in math, B be the students who are major in communications.…

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: A department store wants to send codes for  $15  off a  $75  purchase to the subscribers of its…

A: The coupon code have three letters followed by one digit and followed by one  letter. i.e. we have…

Q: Suppose each license plate In a certain state has three letters followed by three digits. The…

A:

Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A: To understood this, consider a problem in which there are r vacant inline spots, each of the spots…

Q: A TV game show selects four contestants from an audience of 26 people. If the same 26 people showed…

A: Given: Total number of people=26Number of people selected=4 The permutation formula is applied when…

Q: Suppose each license plate in a certaln state has two digits, followed by two letters, followed by…

A: The license plate consists of two digits, followed by two letters, followed again by two digits.…

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: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

A:

Q: A technology company is going to issue new ID codes to its employees. Each code will have two…

A: As each id code will have two letters, followed by one digit, followed by one letter thus,

Q: Suppose each license plate in a certain state has three digits followed by three letters. The digits…

A:

Q: (a) If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A: Solution: a. The given digits are 1, 2, 3, 4 and 5. Here, the repetition is not allowed.

Q: How many 3-digit numbers can be formed from the digits 2,3,5,6, and 9, which are divisible by 5, if…

A:

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A: There are 6 positions in the license plate that need to be filled. Out of these 6, first 4 positions…

Q: Suppose each license plate in a certain state has one digit, followed by four letters, followed by…

A: FORMAT of number = 9AAAA9 (1 number, 4 letters, 1 number) A license plate has six spaces to be…

Q: Standard passenger-car license plates in the state of Indiana contain 3 capital letters from the…

A: Given that, Standard passenger-car license plates in the state of Indiana contain 3 capital…

Q: How many strings of five uppercase English letters are there (a) that start with an X, if letters…

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

Q: Suppose that 150 people celebrated their birthday in three months, where 65 people celebrated their…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A:

Q: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

A: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

Q: Suppose each license plate in a certain state has one digit, followed by four letters, followed by…

A: Given, Each license plate in a certain state has one digit followed by four letters followed by one…

Q: A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list.…

A: Given that there are 3 positions for letters. Each position can have 23 choices. So the total…

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.