A lock consists of a keyboard with the numbers 0 through 9. A code consist of pressing 3 numbers simultaneously. (a) How many possible codes exist? (b) How many different codes contain the number 0? (c) How many different codes contain only even numbers?

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

A:

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

A:

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

A: The total number of digits from 0 to 9 is 10.

Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

A:

Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: This is a type of permutation problem. We want to arrange 1-9 digits in  4 positions with repetition…

Q: A staff number of a BigHit company is composed of 2 non-vowels uppercase alphabets and 3 digit…

A: GivenA staff number of a BigHit company is composed of 2 non-vowelsuppercase alphabets and 3 digit…

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

A:

Q: . Five-digit-numbers can be formed from the six digits 2, 3, 5, 6, 7 and 0. If repetitions are not…

A:

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: 1) There are 480480 people in attendance for the conference. If every person shook hands with every…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: The digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to make 4 digit codes. (a) How many unique codes are…

A: As per Bartleby guideline, if more than three subparts are asked only first three to be answered…

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

A:

Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

A:

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: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: 4. How many 5 digit numbers can be formed if a) the digits 2-8 are available and there must be at…

A: 4. It is required to form 5 digit numbers under two different sets of conditions.

Q: 1. Frankie has to create a new Virginia Tech password. Suppose Frankie wants his password to be 7-9…

A: The given data is:

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: To use an automated teller machine at a certain​ bank, you must enter a 6​-digit ​code, using the…

A: To find-  Possible 6 digit codes if repetition of digits are permitted.

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

A:

Q: A telephone number consists of 7 digits. How many phone numbers are possible if the first digit is…

A: The formation of a telephone number is a significant use of counting. A telephone number consists of…

Q: 5. From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, if six-digit numbers are to be formed and…

A: 5) Total number of digits to be used 8 Unit digit can hold any of the 4-digits; 3,5,7,or 9 for an…

Q: How many of the 60 students in a 25-item quiz can have the same score? 2. Apples, bananas, and…

A: The pigeonhole principle can be used to calculate the least number of objects. The pigeonhole…

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

A:

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: 9. in a 5-digit numeric password, how many possible combinations are there if a digit cannot be…

A:

Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: Total available numbers = 9 To make 4 digit code

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: 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 different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

A: Given data: phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1 and…

Q: License plates in a particular state are to consist of 3 digits followed by 2 uppercase letters. How…

A: no.of digits=10  (0 to 10)no.of uppercase letters=26   (A to Z) 9 ways fill it (0 , 2, 3...10) 9…

Q: (a) How many different collections of 50 coins can be chosen if there are at least 50 of each kind…

A:

Q: How many 5-digit numbers can be made from the digits 1 to 9 if: a) Repetition of digits is allowed?…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART ONLY

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

A:

Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: 3. How many different license plates are possible if a state uses (a) Two letters followed by a…

A: (a).We have  (0,1,2,...,9) 10 digits , and 26  letters (A,B,C,.....,Z). Repetitions of digits and…

Q: How many three-digit numbers can be constructed from the digits 0, 3, 4, 5, 6, 8, 9 if: a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters. ​a)…

A:

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: 6. Suppose you need to enter a 4 digit code to enter a room. (a) How many such codes exists if…

A: Question: Suppose you need to enter a 4-digit code to enter a room, find (a) the number of codes in…

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many 3-digit numbers can be formed from the prime numbers from 0 to 10 if the repetition of the…

A: We need to find how many 3 - digit numbers can be formed from the prime numbers from  0  to  10  if…

Q: To use an automated teller machine at a certain bank, you must enter a 5-digit code, using the…

A: To use an automated teller machine at a certain bank, we have to enter a 5 digit code using digits…

Q: 2. A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. (a) How many 4…

A:

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…

Q: To use an automated teller machine at a certain bank, you must enter a 6-digit code, using the…

A:

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.