A computer system allows user IDs that are six characters long. If only alphanumeric characters are allowed (either an upper case letter in the standard English alphabet, lower case letter, or a digit), a. how many user IDs are possible, if repetition is allowed? b. How many user IDs are possible, if no repetition is allowed?

Q: How many distinguishable permutation in the word VANQUISH?

A: Since all 8 letters in VANQUISH are distinct.There are 8 choices for the first letter. Once a first…

Q: How many different initials can someone have if a person has at least two, but no more than five,…

A:

Q: How many 3-digit numbers can be formed using the numerals 3, 5, 6, and 8 if no repetition of the…

A: Solution :

Q: A nine character password has been randomly assigned by using capital and lower case letters. In how…

A: Given : A nine character password has been randomly assigned by using capital and lower case letters

Q: How many distinct “words” can be made by rearranging the letters in “PERMUTATION?”

A: In the word PERMUTATION there are:P=1E=1R=1M=1A=1T=2I=1O=1N=1So, only T repeated twice.

Q: how many secret codes can be formed consisting of five letters or four digits but not both

A:

Q: 8.) In how many ways can 6 keys be selected from 10 keys and arranged on a key chain?

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the number of distinguishable permutations of the letters in the word bookkeeper.

A: To find the number of distinguishable permutations of the letters in the word bookkeeper. Solution:…

Q: if there are 11,875,000 five-letter passphrases that use the letter "M" at most twice, how many…

A: Given that there are 11,875,000 five letter passphrases hat use the letter M at most twice. The…

Q: A computer password consists of six characters. a. How many different passwords are possible if each…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Determine the number of different 10-letter "words" obtained by rearranging the letters of…

A: From the provided information, Total letters in word TOOTHPASTE (n) = 10 T is repeated (k1) 3 times…

Q: Allowing (or requiring) users to use numerical digits (including 0) and one of 28 “special…

A:

Q: 2) Allowing (or requiring) users to use numerical digits (including 0) and one of 31 "special…

A: Introduction: Considering the lower- and upper-case alphabets to be two different characters, total…

Q: How many three-digit numbers can be formed from the numerals in the set {1, 2, 3, 4} if the…

A: Given digits are 1, 2, 3, 4 i.e, there are 4 different digits

Q: How many permutations of the 32 letters can be made?

A:

Q: An island is considering adding another character to their vehicle license plates in order to…

A:

Q: how many three-letter permutations can be formed from the letters in the word pirate? Show your…

A: To find how many three-letter permutations can be formed from the letters in the word pirate.

Q: many permutations are there in the word TAGAYTAY?

A: Given: The word is  TAGAYTAY .

Q: 10. A bank password consists of four letters of the Roman characters (small and capital letters)…

A: SOLUTION:

Q: If the letters A, B, C, D, E, and F are to be used in a five-letter code, how many different codes…

A: 6 letter A,B,C,D,E,F We have to make 5 digit code without repetition

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A:

Q: Assuming that there will never be more than 500 million people in the United States before the year…

A:

Q: Question 26

A: Solution: 26. Combination: If there are n objects in order to select r objects combinations should…

Q: In how many ways can ten different keys be arranged in a key chain if there are two sets of three…

A: here given,  there are total 10 keys arranged in key chain

Q: 1. In how many ways can eight people be seated at a round table? In how many ways can eight keys be…

A: We will use concepts of combination and permutation  to get the solution

Q: A code consists of selecting 3 not-necesarily-distinct digits, followed by a 3-letter "word" chosen…

A: Total ways of selecting 1 Digit: {0,1,2,3,4,5,6,7,8,9} = 10 Letters = {A,B,C,X,Y,Z} = 6

Q: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

Q: How many permutations are there of the letters in the word "TENNESSEE"?

A: In word "TENNESSEE", Number of E's = 4 Number of N's = 2 Number of S's = 2 Number of T = 1 Total…

Q: Eight runners are hoping to take part in a race, but the track has only six lanes. In how many ways…

A: Given : number of persons(n) = 8number of lanes (x) = 6

Q: In how many distinct ways can the letters of the word ATLANTA be arranged?

A: Just count total letters in the given word and repeated ones and then the answer is easy.

Q: How many computer passwords can be formed by rearranging the letters in the word ‘INDEPENDENCE’ ?

A:

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: We have a computer system that allows user IDs which are six characters long,And, there is only…

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

A:

Q: Find the number of distinguishable permutations of the word "VANQUISH".

A: Given word is "VANQUISH"    Total no. of letters=8    and no letter is repeated.

Q: How many 6-character license plates are possible if the first three characters must be an uppercase…

A: Given that the 6 character license plates are possible. first three characters are selected from…

Q: In how many different ways can seven keys be arranged on a key ring if the keys can slide completely…

A: Here we have to find the number of different ways can seven keys be arranged on a keyring if the…

Q: How many distinct permutations of the letters of the word TABULATION contain the string ION?

A: Number of permutation  keeping ION as one we get that 8!2!=8· 7· 6· 5· 4· 3=20160

Q: Suppose that a password for a locked door must have at least 8 characters, where each character in…

A: It is given that password can be a lowercase English letter, an uppercase English letter or a digit.…

Q: In how many distinct ways can the letters of the word “YELLOWWOOD” be rearranged? 50,400 151,200…

A: To arrange a word in distinct ways, we have to use permutations.

Q: How many different four​-letter ​"words" can be formed from the alphabet ABCD

A:

Q: How many integers in the range 1 to 100,000 inclusive are divisible by 6, 15 or 21?

A:

Q: How many 4​-letter code symbols can be formed from the letters from the word PODS without​…

A: Given words is"PODS"No.of letters in word "PODS" = 4

Q: How many 5​-letter code words can be formed using a 27​-letter ​alphabet? ​(a) if repetition is​…

A:

Q: License plates in a certain state follow the format: four letters, followed by three digits. In…

A: GivenLicense plates in a certain state has four letters followed by three digitsNo.of letters from…

Q: In how many ways can the digits in the number 2,848,484 be​ arranged?

A: The given number is "2848484". We have to find the number of ways in which the given number can be…

Q: How many 7-digit ID numbers can be made if no digits repeat, and the last digit must be 0 or 1?…

A: Consider the case when the last digit is 0.  The number of digits left is 10-1 = 9 digits.  The…

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

A: