7. We consider case-sensitive alphanumeric passwords (there are 62 possible characters). (a) How many passwords with length 10 are there? (b) How many passwords of length 10 contain your (7 character) user name? Be sure to explain your answer. (c) How many passwords have length 8, 9, or 10 and do not contain your user name?

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: How many ways can you make a 5 digit password that can be any number (including zero) or letter…

A: The objective of this question is to find out the total number of possible combinations for a…

Q: For some particular website, the password must start with one of the letters A, B, or C. Then there…

A:

Q: How many four-letter passwords can you form with the letters a,b,c,d,e,f,g,h,i,j?  a. 10^4 =…

A: It is an important part of statistics. It is widely used.

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: A computer password must be eight characters long. How many passwords are possible if only the 26…

A: Given Total no.of alphabets=26No.of characters long =8

Q: You are signing up to a website that requires you to create a username that is exactly 8 characters…

A: From the given information, the website that requires you to create a username that is exactly 8…

Q: From a bag of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of…

A: Given that, From a bag of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4…

Q: The average length of a password is 8 characters. If you are allowed to use the 26 letters in the…

A: The average length of a password = 8No. of letters in the alphabets=26No. of digits from 0-9=10Total…

Q: Melchizedek needs to make a password for his savings account. The password has to be 5 characters…

A: The permutation with repetition of objects can be written using the exponent form. When the number…

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

Q: Assume that there are 8 girls and 12 boys in the neighborhood club, and a team of 6 is to be…

A: Given information: Number of girls, g = 8 Number of boys, b = 12 A team of 6 is to be selected. It…

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

A:

Q: How many ways are there to arrange the letters in COMPANIES? (a) with vowels in alphabetical order?…

A: a) There are total number of ways to arrange letters in alphabetical order is 9!. Here four vowels…

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

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

Q: Bob owns 9 different books. He wants to arrange all of these books left-to-right on a single…

A: From the provided information, Bob owns 9 different books. And he wants to arrange these books left…

Q: How many ways can you reorder the eggs in a carton of one dozen eggs? (Enter your answer as a whole…

A: We have to find this How many ways can you reorder the eggs in a carton of one dozen eggs.

Q: Before 1995, area codes for phone numbers had the following format: NNN, where first digit couldn’t…

A: Given that , Before 1995, area codes for phone numbers had the following format: NNN where (1) first…

Q: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…

A:

Q: I used the permutations formula to determine the number of ways the manager of a baseball team can…

A: Combination : Using combination set of n distinct items r number of way selected without…

Q: A computer password is required to be 5 characters long. How many passwords are possible if the…

A: Given dataa computer password is required to be 5 cgaracters longThe password requires 2 letters…

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

Q: For some particular website, the password must start with one of the letters a b or c. Then there…

A: Introduction: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0…

Q: A corporate password consists of four digits, followed by three lower-case letters of the alphabet.…

A: The password is 4 digits long followed by three lower-case letters.

Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

A:

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? Q,…

A: Given that  Number of letters = 10 Letters  =  Q , L , Q , U , A , L , L , A, R , W Number of times…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: I want to make a password using 3 consonants followed by 3 vowels. Given that I do not want…

A: password : 3 consonants followed by 3 vowels   out of 26 letters there are 5 vowels {a,e,i,o,u} so…

Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…

A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Q: Bob owns 7 different books. He wants to arrange all of these books left-to-right on a single…

A: