A hotel reservation number consist of 4 digits, followed by 1 letters , followed by 2 digits. How many different reservation numbers are possible

Q: president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how…

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Q: There are 23 students in a class, and 6 of them will be chosen to go on a field trip. How many ways…

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Q: A website requires users to set up an account that is password protected. If the password format is…

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Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if repetition is…

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Q: A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2 digits. How…

A: Given:- A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2…

Q: There are 13 students in a class , and 6 of them will be chosen to go on the field trip . How many…

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Q: in a certain state, each standard automobile license plate number consist of two letters followed by…

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Q: A one-topping pizza consists of choosing a crust, a type of cheese, and one topping. If there are 4…

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Q: Each student at State College has a student I.D. number consisting of seven digits (the first digit…

A: no.of digits ( 0 to 9)=10no.of letters(A,B,C,D,E)=5

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

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

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Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

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Q: How many​ 10-digit telephone numbers​ (area code+​number) are possible if the first digit cannot be​…

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Q: A license plate in a certain county consists of 4 letters followed by 3 single digits.  How many…

A: Permutation is deals with arrangements. It is used to calculate the number of ways a certain number…

Q: A certain congressional committee consists of 8 senators and 12 representatives. How many ways can a…

A: It is given the number of senators is 8 and representatives is 12.

Q: How many eight digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A: To find the number of ways

Q: A company has 10 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: They can choose 2 men from 10 men in 10C2 ways They can choose 2 women from 11 women in 11C2 ways.…

Q: There are 7 Math books, 4 English books and 6 Filipino books on a shelf. How many ways can you…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: There are 58 members on the board of directors for a certain non-profit institution. If they must…

A: Given that,There are 58 members on the board of directors.

Q: How many possible lock codes are there if repetition of letters and numbers is not allowed?

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Q: A restaurant offers ba dinner special that lets you choose from 10 entrees, 8 side dishes, and 13…

A: From the given information,Total number of dinner entrees = 10Total number of side dishes = 8Total…

Q: A club with 17 members must choose a president, a vice president, a treasurer, and a secretary. How…

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Q: There are 55 members on the board of directors for a certain non-profit institution. If they must…

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Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

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Q: How many ways are there to make a committee of 19 board members if exactly 5 must be female?

A: Given Data: The number of female board members is: f=11 The number of male board members is: m=19…

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

A: Given that there are total 14 members.    A president, a secretary, and a treasurer represent 3…

Q: There are 24 books on a shelf. How many ways are there to choose 10 of them so that no two of the…

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Q: A computer password consists of 4 small letters, followed by 4 numbers, 0-9 each. How many passwords…

A: 1. There are 26 letters and 10 numbers. the computer password consists of 4 small letters followed…

Q: A password consists of 6 capital letters followed by 6 digits. If repetition is allowed, find the…

A: A password consists of 6 capital letters followed by 6 digits.  If repetition is allowed, find the…

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

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Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

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Q: How many possible license plates can be issued with two letters followed by three numbers?

A: The state issues license plates consisting of letters and numbers. There are 26 letters and the…

Q: Delegates from 10 countries, including Russia, France, England, and the United States, are to be…

A: Given  10 countries in total  4 of them are Russia, France, England, United States  We need to…

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

Q: A committee’s chairperson and secretary must telephone the other 7 members about a change in the…

A: If you have n objects, then the number of different ways that they can be arranged is given by n!.…

Q: Each student has an ID number consisting of 5 digits ( the first digit is non-zero, and digits can…

A: Number of digits in the ID number = 5 Since first digit is non-zero, the number of possibilities for…

Q: Customer account "numbers" for a certain company consists of 22 letters followed by 44 single-digit…

A: In general, the number of digits is 10. They are, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Q: A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the…

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Q: How many ten-digit telephone numbers are possible if the first three digits must all be different?

A: Given,total no.of digits=10  (0 to 9)

Q: A committee of 3 is to be formed from a group of 20 people. How many different committee are…

A: A committee of 3 is to be formed from 20 people. So there has to be 3 selections from 20 people…

Q: A man has 4 shirts, 4 pairs of trousers, 3 pairs of socks and 2 pairs of shoes. How many different…

A: Given Number of shirts = 4 Number of trousers = 4 Number of pair of socks = 3 Number of pair of…

Q: Each student at State University has a student ID number consisting of five digits (the first digit…

A: Solution: From the given information, a student ID number consisting of five digits followed by two…

Q: Your field experience instructor wants to line up 9 cars for transportation to a grade school.…

A: Permutation is used to arrange r numbers from n numbers. Combination is used to select the r numbers…

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

A: We will use arithmetic method to find solution to the problem.

Q: A five-person committee is to be selected from an organization's membership of 19 people. How many…

A: It is given that, An organization has 19 people out of which 5 person committee is to be selected.…

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

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Q: 9. A customer ID consists of 3 digits followed by 2 letters. How many different customer IDs are…

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