7. A company is forming passcodes for its employees. Each code will consist of 4 letters, with no repeating of letters. How many different passcodes are possible? (A) 99 (B) 104 (C) 358,800 (D) 456,976

Q: 4) In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A: Image is attached with detailed solution.

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

Q: 6. A safe uses a code that is made up of two letters followed by three digits. How many possible…

A:

Q: In a particular state, all automobile license plates consist of two capital letters (from…

A:

Q: 5. Suppose six pairs of similar-looking boots are thrown together in a pile. How many individual…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: 13) In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A: A factorial of a positive integer n is the product of n, and all of the positive integers less than…

Q: A staff number of a BigHit company is composed of 2 non-vowels uppercase alphabets and 3 digit…

A: GivenA staff number of a BigHit company is composed of 2 non-vowelsuppercase alphabets and 3 digit…

Q: 1. There are 8 ways to send 4 different gift boxes into 2 indistinguishable houses (each house may…

A: To check given statement is True or False.

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

A:

Q: a) How many different license plates are possible if each contains 2 letters​ (out of the​…

A: We solve this question by using permutations If characters are not repeated then the total number of…

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: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A: Answer is mentioned below

Q: 3. In how many different ways can the letters of the word 'COMPUTER’ be arranged?

A: Solution (1)

Q: 17. 8 horses are running in a race. In how many different ways can these horses come to first,…

A: Total 8 horses   means  n = 8, First , second , Third position. means  r = 3.

Q: 1. Blacklist International has 10 posters waiting to be displayed at the lobby of Tier One…

A: Here Given  Total No of poster to be Displayed=10 No of days for display without repetition=45 X= No…

Q: (1). How many different words (including nonsense words) can you make by rearranging the letters of…

A: 1) The given word is “EFFERVESCENCE”. The total number of letters is 13. There are 2 C’s, 5 E’s,…

Q: How many different signals can be made using AT LEAST 4 distinct flags if there are 7 different…

A: Solution:  Different signals can be made using; AT LEAST 4 distinct flags if there are 7 different…

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

A:

Q: 2. How many different arrangements can be made by using all the letters of the word MATHEMATICS ? 3.…

A: Here use combination

Q: 13) In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A:

Q: In how many different ways can we arrange 10 experimental hamsters in 10 laboratory cages if 4…

A:

Q: 4. A computer center acquires eight different models of laptops of the same color and shape. If they…

A: We have in all 8 laptops in a drawer and choose 5 from them.

Q: The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit…

A: According to the given information, The first position has one choice. As the issuer is fixed from 2…

Q: 4. In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play…

A: The number of men who can play any of the positions is, n = 8 The number of starting positions on a…

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…

Q: 9. If you write down all letter permutations of the word "brands" in alphabetical order, how many…

A: The total number of permutations of the word "brands" is 6! a b d n r s If we write down all…

Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

A:

Q: How many different ways can a manager and supervisor select from an IT company branch in Manila if…

A: Query- How many different ways can a manager and supervisor select from an IT company branch in…

Q: In how many ways can a television director sched-ule a sponsor’s six different commercials during…

A: From provided information, a television director schedule a sponsor’s six different commercials…

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: 2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the…

A: Let           A=Access codes 4 to 6 symbolsA1=Access codes with 4 symbolsA2=Access codes with 5…

Q: 11. If there are 90 people, can there be at least 2 who have the same first digit of a cell number…

A: given , 90 people  we have to find can there be at least 2 people whose first and last digit of cell…

Q: he security department has decided that passwords must now be 8 characters. They are considering two…

A:

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

Q: 16) How many unique license plate numbers can be created made up of 3 letters (26 possible) followed…

A: The places of letters which are 26 possible can have the following pattern as they can not be…

Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

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

Q: How many three-digit numbers with different digits are there, formed from digits belonging to the…

A: The given digits are : 1,2,3,4,5,6,7,8,9 The total no. of digits given = 9 We are required to form a…

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A:

Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…

A: According to bartleby policy I have solved first question. I hope it will help you...

Q: 11. In how many ways can we seat 7 people at a round table with a certain 3 people not in…

A:

Q: 3. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels…

A: The word OPTICAL has three vowels O,I and A. Consider these three letters as 1 and the remaining…

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively.…

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations…

Q: 1.How many different four-letter passwords can be formed from the letters A, B, C, D, E, F and G if…

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

Q: 2.22 In a medical study, patients are classified in 8 ways according to whether they have blood type…

A: Given: Number of ways according to blood type =8 Number of ways according to blood pressure =3

Q: 2) Phone numbers consist of a three-digit area code followed by seven digits. If the area code must…

A: Given information- We have given that a phone number consist of a three-digit area code followed by…

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.