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: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: In music, when going up an octave you double the frequency. For instance, if one note has a…

A: 1) Given that when going up an octave we double the frequency. If one note has a frequency of 400…

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

A:

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: 7. You need to select a three-character password for a new online bank account. The rules are: you…

A: Permutation - The different arrangements of a given number of things by taking some or all at 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: How many ways can you arrange all the

A: here in word "COVID" total 5 letters  2 are vowel I,O

Q: A computer system uses passwords that have six characters, and each character is one of the 26…

A: It is given that the first character has to be a Letter Digits : 0,1,2,3,4,5,6,7,8,9 : 10…

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: How many Combinations 3-letter Possible from letters A, E, I, O, and 4?

A: Here the given letters are ,      A,E,I,O,U  So, total number of letters , n=5 Using formula ,…

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: 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: 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: 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: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A:

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

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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: how many possible combinations are there for computer password that must contain six letters a…

A: Each of the places can take any letters from A to Z , as no repeat condition is given. Therefore,…

Q: How many posible 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

A: We have given that 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

Q: How many ways are there to select a three character password in such a way that the first two…

A: How many ways are there to select a three character password in such a way thatthe first two…

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A: Given information: Total number of letters that can be used for password = 26 Total number of…

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: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

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: Many banks require customers who use the automated teller machine (ATM) to enter a four-digit…

A: ATM machine needs four digit password before transaction.  digits : {0,1,2,3,4,5,6,7,8,9} digits can…

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

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Q: How many six-lettered words starting with the letter T can be made from all the letters of the word…

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