A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the numbers. how many possible combinations are available?

Q: If there are 4 math courses, 3 psychology courses, and 5 English courses offered in non-overlapping…

A: No.of math courses = 4 No.of psychology courses = 3 No.of English courses = 5 Consider that select…

Q: How many three-number combinations are possible on a combination lock having 40 numbers on its dial…

A: We have , total 40 number on dial and we have to find the combination lock of 3 digits. Since , the…

Q: A car dealership offers 10 different upgrades with each of the vehicles it sells. If a customer can…

A: Given data; A car dealership offers 10 different upgrades with each of the vehicles it sells.  To…

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

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Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

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Q: If a series of license plates is to be prouder that all have the same pattern of three letters…

A: Answer: Total letters=26 Numbers=0 to 9 = 10 Total number of license plates possible with repetition…

Q: a) How many three-digit numbers less than 700 can be made using the digits 9, 7, 4, and 2? (Each…

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Q: A combination lock uses 4 numbers, each of which can be 0 to 26. If there are no restrictions on the…

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Q: A combination lock uses 3 numbers, each of which can be 0 to 31. If there are no restrictions on the…

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

Q: If a family has six children, in how many ways could the parents have two boys and four girls?

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Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

Q: Radio stations that are on the east side of a nation have call letters consisting of a W followed by…

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Q: An equestrian club has ten members. If the club wants to select a president, vice president, and…

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

A: We know that, No. Of alphabets= 26 No. Of digits= 10

Q: A job interviewer has set 10 questions with four answer options and one correct answer. In how many…

A: The number of ways for two events to occur in a sequence is p×q. Here, p is the number of ways the…

Q: A time traveler can take 5 books with him, and he has 76 books to choose from. How many different…

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Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restríctions on the…

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Q: A combination lock has a dial with 30 numbers from 1 through 30.  How many three-number combinations…

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Q: From a group of 20 children, how many must you choose, if you want to make sure two of them have…

A: There are 12 month in a year, thus let m=12. Let n denote the number of chosen children who have…

Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

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Q: A combination lock uses 4 numbers, each of which can be 0 to 24. If there are no restrictions on the…

A: Given information- We have given that a combination lock uses 4 numbers, each of which can be 0 to…

Q: The gate code at your apartment complex is three numerical digits followed by the “#” sign. If each…

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

A: topic - permutations and combinations

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: The access code for a car security system consists of four digits. Each digit can be 0 to 9, How…

A: Givena car security system consists of 4 digits each digit can be 0 to 9

Q: A combination lock uses 3 numbers, each of which can be 0 to 38. If there are no restrictions on the…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: A teacher has 24 colored pencils and 18 pictures to be placed in groups with the same number of…

A: Question 3:             It is given that a teacher has 24 colored pencils and 18 pictures. The…

Q: A combination lock will open when you select the right choice of four numbers (from 1 to 45,…

A: Topic = Algebra

Q: A combination lock uses 4 numbers, each of which can be 0 to 36. If there are no restrictions on the…

A: Here, it can be observed that all numbers are independent of each other.

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 40. If there are no restrictions…

A: From 0 to 40, there are 41 integers.  Since there are no restrictions  so we can pick the first…

Q: A  locker combination system uses four digits from 0 to 9. How many different four-digit…

A: A  locker combination system uses four digits from 0 to 9. To find how many different four-digit…

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

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: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: A lock uses the letters A through H on the first dial and the digits 0 through 9 on the second and…

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Q: A lock uses 3 numbers as an unlock code, each of which can be 0 to 19.  If there are no restrictions…

A: Given: 3 numbers to unlock the lock.

Q: A time traveler can take 4 books with him, and he has 98 books to choose from. How many different…

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Q: A Maryland automobile license plate consists of three letters followed by three numbers.  How many…

A: As per bartleby guidelines only one question should be answered once, please upload each question…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Q: A combination lock uses 4 numbers, each of which can be 0 to 27. If there are no restrictions on the…

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Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…