Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1 as the first digit, and do not have 2 as the third digit. How many area codes are possible?

Q: A circuit board has 10 free slots for chips, and four different chips will be installed in it. State…

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Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In…

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Q: How many 6-character license plates are possible if the first character must be a letter that is not…

A:

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: a…

A: Given Twelve teachers are to be assigned to three schools

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: In certain state, all license plates consist of from four or five symbols chosen from the 26 letters…

A: We need to find the number of license plates in which repetition of symbols is not allowed. The…

Q: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

A: (a)It is given that a DNA sequence can be represented by a string of the letters ACTG,Now, the…

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: Suppose that 11 children collected 50 books. Prove by contradiction that at least two of them had…

A: In mathematics, proof by contradiction is a method of proving something by assuming opposite of what…

Q: the vast majority of visa and discover credit cards have 16 digit card numbers. the first digit is…

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Q: How many strings of four decimal digits a) do not contain the same digit twice? b) end with an even…

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Q: a. if the characters should not repeat? b. if the characters repeat? c. if the first 3 characters…

A: Given: A social media account requires a 6-character password. Passwords should only contain numbers…

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A: Answer is mentioned below

Q: How many 6​-letter code words can be formed from the letters O, A, Y, H, K,W if no letter is​…

A: Given: 6 letters = {O, A, Y, H, K, W}

Q: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

A:

Q: A 6-digit phone number cannot start with 0 or 1. Assume that there are no restrictions on the…

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Q: How many 3-letter passwords can be made using the letters A through Z if... a) Repetition of…

A: We have to find the number of 3-letter passwords that can be made using the letters A through Z if…

Q: An overnight express company must include five cities on its route. How many dif- ferent routes are…

A: no. of cities = 5

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: The South African National Assembly consists of 400 members. How many possible ways are there to…

A: Thanks for giving opportunity to serve for bartleby students,   Hey, There ! Thank you for posting…

Q: Assume that there are 105 students: 45 of which like rock, 52 of which like country, and 23 of which…

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Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: How many five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: (a) How many three-digit phone prefixes that are used to represent a particular geographic area…

A: HERE USE COMBINATION FOR FINDING POSSIBLE NO OF PREFIX WITH GIVEN CONSTRAINTS IN EACH PARTS

Q: A. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are…

A: Answer is given below:

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

A:

Q: Suppose a password must have at least 8 characters, but no more than 12 characters, made up of…

A: Given that, Suppose a password must have at least 8 characters, but no more than 12 characters, made…

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

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: How many strings of three decimal digits

A: Strings of three decimal digits:

Q: In a set of eleven elements, two subsets A and B shall be determined, such that A contains 6…

A: Let U denote the set of eleven elements,  A is subset of U containing 6 elements and B is the set…

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

Q: How many 4-digit numbers can be formed from the digits 0,1,2,3,4,5,6,7 and 8, if each digit can be…

A:

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

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

A: Given Car license plates have 4 (A to Z) capital letters followed by 3 (0 to 9) digits

Q: A five character computer password can be formed from three digits, followed by two lower case…

A: There are totally 26 lower case letters of the alphabets(a-z) and 10 digits (0-9). A five character…

Q: A security keypad uses five digits (0 to 9) in a specific order. How many different keypad patterns…

A: There 5 events digits and 5 odd digits. The security keypad uses five digits from 0 to 9. There are…

Q: A certain committee consists of 20 people. From the committee, a president, a vice-president, a…

A: Given : A certain committee consists of 20 people Now we have to choose a president, a…

Q: Assume that a license plate must be of length 7.  How many different license plates are possible…

A:

Q: How many 7-digit ID numbers can be formed if each number starts with 19 and no digit appears more…

A: Solution-: How many 7-digit ID numbers can be drawn formed if each number starts with 19 and no…

Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A: We will use basic combinatorics.

Q: Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD.…

A: the total number of alphabets between A to P is 16.

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: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

A: We want to find the number ways to make 3 digit number.

Q: How many three-letter code words can be constructed from the first ten letters of the Greek alphabet…

A: We have to find how many three-letter code words can be constructed from the first ten letters of…

Q: How many 5​-letter code words can be formed using a 27​-letter ​alphabet? ​(a) if repetition is​…

A:

Q: How many four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Q: How many 7-digit ID numbers can be made if no digits repeat, and the last digit must be 0 or 1?…

A: Consider the case when the last digit is 0.  The number of digits left is 10-1 = 9 digits.  The…