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

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

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Q: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

A: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

Q: student needs 6 more classes to graduate. If she has met the prerequisites for all the classes, how…

A: Given n=6 r=3

Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

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Q: How many telephone numbers have no repeated digits?

A: Given, A telephone number consists of seven digits which is combination of {0,1,2,3,4,5,6,7,8,9}.

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

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: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 156…

A: Remark:The greatest common division (GCD)of two numbers p,q is the greatest positiveinteger a such…

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

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Q: You can choose from seven science courses and five humanities courses. In how many ways can he…

A: Number of science course = 7 Number of Humanities course = 5 Total number of course = 7+5 = 12…

Q: An online mobile game tournament was facilitated and begins with 1024 Each game has four (4)…

A: Given: Total players = 1024 Total players in each team = 4

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

Q: A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different…

A: First, make all possible combinations of first 3 elements of the license plate, that is we need 3…

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: How many 4-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: Given: Letters M , A , T ,H  We need to find number of 4 letter words that can be made.

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: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! The track…

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

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: A club with 5 members is to choose 3​ officers: ​ president, vice-president, and​…

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Q: Each marble bag sold by Michael's Marble Company contains 3 blue marbles for every 5 orange marbles.…

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Q: The Senate in a certain state is comprised of 54 Republicans, 45 Democrats, and 1 Independent. How…

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Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216  No need to wear socks and caps So total ways…

Q: A bag contains 3 red marbles, 2 green ones, 1 lavender one, 2 yellows, and 2 orange marbles.  How…

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Q: A woman has seven skirts and seven blouses. Assuming that they all match, hi combinations can she…

A: Solution:- From given information they are 7 skirts 7 blouses

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

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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: 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: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

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: 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: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only…

A: The number of pizza toppings chosen is 2 and the total number of toppings is 20.

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 team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

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: A computer password is to consist of three lower case letters followed by two digits. Determine how…

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Q: The Senate in a certain state is comprised of 51 Republicans, 48 Democrats, and 1 Independent. How…

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Q: the chairperson who must select a subcommittee but assume that the committee consists of 11 people…

A: There are total 11 people including the chairperson. 1 chairperson is to be selected at first. The…

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

A: Total members on the board of directors = 15 members

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 marble bag sold by Raina's Marble Company contains 3 orange marbles for every 4 blue marbles.…

A:

Q: In a​ bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 ​marbles,…

A: Given in a​ bag, there are 11 purple and 7 green marbles. If we reach in and randomly choose 4…

Q: A company has 7 male and 12 female employees, and needs to nominate 2 men and 2 women for the…

A:

Q: How many 3-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: We have given that a four letter word MATH from which we can made 3 letter words in two different…

Q: A university student is selecting courses for his next semester. He can choose from 5 humanities…

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Q: If 4 Maths books are selected from 6 different Maths books and 3 English books are chosen from 5…

A: Solution  Given That,  If 4 Maths books are selected from 6 different Maths books and 3 English…

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A: According to the question  number of combination are

Q: A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club…

A:

Q: license plate is to consist of 2 letters followed by 3 digits. Determine the number of different…

A: Given that, a license plate consist of 2 letters followed by 3 digits. Determine the number of…