With no repetition allowed, 2-letter arrangements are to be made form E, B, O, N

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: 4. How many committees of 4 men can be formed from a group of 10 Hiet

A: GivenNo. of men in a group=10

Q: help

A:

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

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

Q: 1. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Ans#1- In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads…

Q: 1. Suppose a club has 22 members. a. How many ways can they form a 5-person committee? b. Once the…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

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

A:

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: 11. Find N, where M = (5, 9, -3) and MN = −3[2,3,4]

A:

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow 1, 1 black ball and 1 green…

A: Given :  jack has 1red ,1 blue,1 orange,1 yellow,1 black and 1 green ball then no of arrangement to…

Q: word is made from the following nine letters (m,a,t,h,i,s,f,u,n). How many different four letter…

A:

Q: Find the number of arrangements of the letters of the word PENCILS if there are 3 letters between E…

A: Given word: PENCILS Concept: Condition is that there should be 3 letters between E and I. Here first…

Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

A:

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: ) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Q(3): The license plates are formed by choosing 2 letters (from total 26 alphabets) followed by 4…

Q: How many different 7-letter words can be made a. if the first letter must be E, X, T, or L and no…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: 2. How many different committees of 4 members can be formed from a group. with 7 seniors and 6…

A: Permutations is the collection of items or elements arranged in a different way with ordering where…

Q: How many words of  at most 4 letters can be formed with the letters of the word TUNE if letters…

A: We  have to find no of words .

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: On how many ways can 9 person be seated around a table if the kid brother wanted to be seated with…

A: No. of ways to make people sit in circle : (n-1)! as kid brother wanted to be seated with his father…

Q: ay be formed using the digits 2, 3, 4, 6 and 9 if repetitions

A: 22,23,24,26,29,32,33,34,36,39,42,43,44,46,49,62,63,64,66,69,92,93,94,96,99. In unit digit place we…

Q: 7. In how many ways can a committee of three be formed from a group of 10 members?

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: suppose repetitions are not allowed. Find the number n of three-digit even nimbers that can be…

A: Given problem Given that   Suppose repetitions are not allowed. Given six digits : 2,3,5,6,7,9…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: 4. We will have an ordered parade of the flags of 15 countries through the streets of Koper. In how…

A: (a) Slovenias flag should come first.

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given that, There are Seven members in a club who need to participate in a national meeting in…

Q: 2. A club has seven members. Three are to be chosen as a group to a national meeting. A) How many…

A:

Q: A computer programming team has 9 members. (a) How many ways can a group of five be chosen to work…

A:

Q: How many different ways can you arrange 2 letters from a set of 3 letters {L, S, U} such that…

A: There are 3 distinct letters. We must find the number of ways 2 of these letters can be arranged…

Q: How many different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

A: Given data: phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1 and…

Q: How may combinations can be made from B,E,A,U,T,Y, if the letters are taken three at a time?

A: Given, The word BEAUTY  has 6 letters To find the number of combinations can be formed by taking…

Q: How many different 5​-letter radio station call letters can be made a.  if the first letter must be…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Suppose you are asked to arrange 10 books in a shelf. Three of them are Mathematics, 4 are English…

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

Q: 9) License plates are made using 3 letters followed by 3 digits. How many plates can be made if…

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

Q: 3. Suppose a landline number contains 5 digits. How many different landline numbers can be made with…

A: As per Bartleby guideline expert have to answer first question only..

Q: 4) A treasure chest contains 10 rubies and 8 diamonds. In how many ways can a group of six jewels be…

A:

Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…

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

Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

A:

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: 1. In how many ways can students in a college be classified according to year (1st to 4th) if there…

A: Given that 1. students in a college can be classified according to year (1st to 4th) if there are 10…

Q: How many 5-number license plates can be made using the digits 1,2,3,4,5,6,7, if an odd digit must…

A: Given Data: The total number of digits available is: n=7 The numbers required on number plate is:…

Q: How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5 if the…

A: Total numbers 0 , 1 , 2 , 3 , 4  5 = 6

Q: (3) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: we have to form license plates using 2 letters followed by 4 digits. Then license plate is of the…

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

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

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits where…

A:

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: 4. A photographer is taking a picture of a bride and a groom, together with six sponsors. How many…

A: 4) There are 8 people in total i.e., 6 sponsors and one couple. We are asked to find the number of…

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.