For some particular website, the password must start with one of the letters P, Q, R, S, or T. Then there must be 3 more charaters, and each of those characters may be a numeric digit or a letter of the alphabet. How many different passwords are possible? There are different passwords.

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How many distinct ten-digit passwords are possible if you must use at least one 26 lower case letter…

A: Given: you must use at least one 26 lower case letter from {a, b, . . . , z}, at least one 26 upper…

Q: how many different 5-digit codes can be formed if the first digit must be an odd number, the second…

A:

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

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

A:

Q: . How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by…

A:

Q: Using the digitd 3, 4, 5, 6, 7, 8, and 9, how many 4-digit numbers can be constructed if the number…

A: Solution: From the given information, the digits are 3, 4, 5, 6, 7, 8 and 9. Here, the numbers with…

Q: In how many different ways can four keys, not two of which are the same, be arranged on a key ring…

A: We have to find the number of ways to arranging four keys on a key ring that has no clasp. Since the…

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: From the provided information, The letters are {A, B, J, K, X, Z} Total letters = 6

Q: (a) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that…

A: Any number which has 0 or 5 in the unit place is divisible by 5.  Case 1: when unit digit is 0 The…

Q: In certain state, all license plates consist of from four or five symbols chosen from the 26 letters…

A: We need to find the number of license plates in which repetition of symbols is not allowed. The…

Q: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

A: (a)It is given that a DNA sequence can be represented by a string of the letters ACTG,Now, the…

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: How many 4-digit radio and television call letters can be formed using the 26 letters of the…

A: GIVEN: W or K must be the first letter.

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: How many 7-character license plates are possible if the first three characters must be letters, the…

A: Given,no. of letters= 26no. of digits from 0-9= 10

Q: Given the characters A,B,C,H,I,T,U,V,1,2,3,and 4, how many seven character passwords can be made? (…

A:

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: From the digits 1,2,3,4,5,7 and8 a) How many numbers of four different digits each can be formed? b)…

A: Given  The digits 1,2,3,4,5,7and 8  a). How many numbers of four digits each can be formed. b). How…

Q: To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the…

A:

Q: How many 3-letter passwords can be made using the letters A through Z if... a) Repetition of…

A: We have to find the number of 3-letter passwords that can be made using the letters A through Z if…

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: A seven-character computer password can be any three letters of the alphabet, followed by two…

A: Given, A seven-character computer password can be any three letters of the alphabet, followed by two…

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: Solve the following set of combinations and permutations.   How many two digit numbers can be…

A: 1)From the provided information the four digits are 1,2,3,4, so the first digit can be any of these…

Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

A:

Q: (a) How many passwords are possible? (b) How many passwords are possible that do NOT repeat any…

A:

Q: Five people plan to meet after school, and if they all show up, there will be one group of five…

A: Five people plan to meet after school. We have to find the number of ways if three of them show up.

Q: In how many ways can the first five letters of the alphabet be arranged if each letter is used only…

A:

Q: How many unique codes are possibly formed from two characters, where the first character can be 3 to…

A:

Q: 2) A school district assigns each of their students a password that consists of three unique letters…

A: Solution

Q: In how many ways can the digits in the number 2,767,676 be arranged? There are ways to arrange the…

A: In this number, there are 1 two. 3 sevens 3 six. And total (1+3+3)=7 digits

Q: How many different number plates for cars can be made if each number plate contains four of the…

A: GivenEach number plate contains four digitsNo.of numbers from 0-8 = 8No.of letters from A-J = 10

Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

A: The number is a seven digit number, so we're dealing with seven digits.  If we were working with the…

Q: A combination lock opens with the correct 5 digit code. Each wheel rotates through the digits 1 to…

A:

Q: For some particular website, the password must start with one of the letters W, X, Y, or Z. Then…

A: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0 through 9, total…

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

Q: How many different three-letter passwords can be formed from the letters A, B, C, D, E, and F if no…

A: There are 6 letters: A, B, C, D, E, and F Different three-letter passwords have to be formed from…

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ?

A:

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 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: A bank requires a six character password that has a letter in the first 3 positions and and a digit…

A:

Q: There are 20 questions on an examination, and each student must answer 10 questions, including at…

A: finding the total number of possible combinations of selecting atleast 4 questions from first 5 and…

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: If we have to fill n boxes with no repetition with n objects then then there are…

Q: How many length-4 lists can be made from the symbols A, B, C, D, E that contains at least one letter…

A:

Q: How many ways to arrange a 4-digit number, provided that the said number must be even and there are…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.