How many different words consisting of 13 letters can be written such that exactly 4 of the letters are A's, 4 of the letters are B's, 5 of the letters are C's and there are no consecutive A's? Write your answer: the number of ways this can be done is...

Q: A baseball collector has 29 game balls from her times attending various baseball games. She wants to…

A: Given that, A baseball collector has 29 game balls from her times attending various baseball games.

Q: In how many ways can a student answer 5 out of 8 questions if he is required to answer 3 of the…

A: Here use combination

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: I used to babysit Nikki, who had a lot of Beanie Babies. Every time I came she would tell me which…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: a. no three digits are to be the same? b. the number must be odd? c. the number must be even?

A: here given  5 digit number formed from the digits 1,2,3,....9  so there are 9 digit available for…

Q: You can answer any 19 questions from the 21 questions on an exam. In how many different ways can you…

A: Here it is given that the order is of no importance, we will use the combination rule here where we…

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: And I witnessed to a crime said that the license plate of the getaway car began with the letters T,…

A: Given the letters T, B, and E, but he cannot remember the order. The rest of the plate had the…

Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: 1. When ordering a pizza from Alberto's, you were asked first to choose a type of crust: thin or dep…

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

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A: a. b. c.

Q: Use the five sentences below to answer the question. Mark had told him about the foxes. John looked…

A: In this question we have to how many different five sentence paragraphs can be formed if the…

Q: How many ways are there to have one puppy out of the four with pointy ears? 1 3. 4

A: Given that, an ultrasound  reveals that Statspoodle will have four puppies. we need to know how many…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: How many different ways can 5 out of 8 different shirts, 4 out of 10 different pairs of pants, and 3…

A: We have given that,  Shirts = 8 , pairs of pants  = 10 and pairs of socks = 6

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: You have 6 books that you want to donate, and there are 20 poor students. In how many ways you can…

A: The number of ways to select r things out of n is given by the formula nCr=n!r!(n-r)!. First,…

Q: How many unique ways can the letters for M-A-X-I-M-U-M be arranged?

A: To find the number of ways that the letters can be arranged.

Q: You have 7 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A: no.of adult emus=7no.of juveniles emus=6

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3…

A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…

Q: how many ways can a teacher sit 12 students in two rows of 6 chairs if Bobby must sit in the front…

A: Given: Total number of students = 12 Number of seats in each row = 6 Bobby is in first row and Billy…

Q: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

A: In a city, the bus route numbers consist of a natural number less than 100, followed one of the…

Q: . How many different ways are there of handing out the prizes if (a) the prizes are all the same?…

A: A kindergarten class has 18 children. FIve of the children are selected to receive prizes. Here use…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8…

A: Given data: The number of cars to pick is r=4. The number of subcompact cars is s=8. The number of…

Q: 1. Find the number of ways of 6 objects; say a, b, c, d, e, ƒ, taken three at a time. In other…

A: Simple case of Permutation.......

Q: Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e,f, and…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

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.