(a) In how many ways can we select 4 people from a group of 10 people and award them first through fourth prizes? (b) In how many ways can we select a committee of 6 people from a group of 30 candidates? Leave your answer in terms of factorials.

Q: 4. Arranging the possible children of a couple with 3 children given that . second child is a girl.

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Q: True or False If a task consists of a sequence of threechoices in which there are p selections for…

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Q: How many arrangements are there of the letters of the word CHEESECAKE under each condition?…

A: According to the given word; Total number of C = 2 Total number of H = 1 Total number of E = 4 Total…

Q: A game requires players to select 5 different numbers between 1 and 60. Suppose you select one 5-…

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Q: How many 3-digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?

A: here available digit 2,3,4,5 and 6 total 5 digits available

Q: To win at LOTTO And a certain state, When must correctly select 6 numbers from a collection of 55…

A: By the formula of permutation and combination nCr= n!/(n-r)!r!

Q: There are 12 students in a math league competition. a) Cash prizes are given out to the top 3…

A: Given there are 12 students. First prize - 200 $ Second prize - 100 $ Third prize - 50 $ a) 1…

Q: James rolls a die once. If event A is getting an odd number, and event B is getting an even number,…

A:

Q: This problem involves permutations. A pianist plans to play seven pieces at a recital. In how many…

A: (1) There are seven pieces at a recital we can arrange the 7 pieces of recital in 7! ways…

Q: 1. How many ways can we choose 20 doughnuts from 5 different flavors if we can choose at most 5 of…

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Q: Apply the Fundamental Properties of Counting or Permutation to solve for the following problems.…

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

Q: 1. a) An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer…

A: 1. a) so employer have to hire 2 people from a list of  13 applicants, Here we use nCr = n!r!(n-r)!…

Q: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

A: The number of possible permutations if r item are taken from n item isnpr=nn-r…

Q: We have an ordered sequence of 12 Good accounts and 5 Bad accounts as below. How many "flips" do we…

A: @solution::::   From the given information we have12 = Good records5= terrible…

Q: There are N cars in a city, and the license plate number is from 1 to N. The license plate number of…

A: From the given information, there are N cars in a city, and the licence plate number is from 1 to N.…

Q: You were tasked to take charged of the auditions for the female part of the stage play. In how many…

A: Let us analyze this problem for a bit. A hopeful does not care if she is selected first, second or…

Q: d) application An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat…

A: Provided information is; Total number of box cars =10 Total number of tank cars =5 Total number of…

Q: A TV show has 26 episodes. Due to the lack of time, you can only watch 5 of them. However, in order…

A: Given, TV show has 26 episodes and you watch only 5 of them. You do not want to watch any two…

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

A: Since multiple parts given, part a and b are answered. Please repost for more help.

Q: 1) You have a sample of 9 flowers from pea plants. (a) Suppose 7 of them are white, and 2 of them…

A: From the given information,Number of flowers in a pea plant = 9

Q: For each of the following, indicate if it is a problem involving permutations, combinations, or…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Identify the following as Permutations, Combinations problems. (no need to solve) 1. In a race in…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in…

A: Answer is option D

Q: Apply Permutation to solve for the following problem: A. With repetition allowed, how many group of…

A: Solution

Q: 1. In how many different ways can you arrange five flags in a row if there are two red flags and…

A: Total no.of flags can be arrange in a row = 5 No.of red flags = 2 No.of blue flags = 3 The no.of…

Q: How many of the 60 students in a 25-item quiz can have the same score? 2. Apples, bananas, and…

A: The pigeonhole principle can be used to calculate the least number of objects. The pigeonhole…

Q: In a game of musical chairs, 6 children will sit in 5 chairs arranged in a row (one will be left…

A: Here we will use the concept of permutations

Q: 4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted... Given…

Q: 1. The school Reach team is attending an invitational tournament, but can only take the top five…

A:

Q: [Q1] Suppose that we have ten CDs in a box. If we pick three, at random, how many different groups…

A: In probability, the most important concept is permutation and combination. The combination is used…

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

A: Given Data : Number of Piano CDs are 6                       Number of Trumpet CDs are 4…

Q: 7. Suppose you have 15 CDs from which you choose 6 CDs to put in the CD player in your car. If you…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: In how many ways can the position of president and secretary of an organization be  filled if…

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Q: Rework problem 11 in section 2.3 of your textbook about selecting three (3) coins, but assume that…

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Q: 7. In a chess competition involving some men and women, every player needs to play exactly one game…

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Q: A student wants to buy 3 CDs. Assume that they are interested in 3 CDs featuring the piano, 6 CDs…

A: In this context, the total number of CDs interest by a student is 14(=3+6+5).a.The number of…

Q: [Q1] Suppose that we have ten CDs in a box. If we pick three, at random, how many different groups…

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

Q: Rework problem 11 in section 2.3 of your textbook about selecting three (3) coins, but assume that…

A: General Information 1 quarter = 25 cent 1 nickel = 5 cent 1 dime = 10 cent Total coins = 4 dimes + 4…

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Q: The top two students in the grade 12 mathematics' class are to receive awards for the highest mark…

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Q: 11. In the Colorado Power Ball Lottery you choose 5 white numbered balls from a group of 75 and 1…

A: In the colorado power ball Lottery you use a 5 white numbered balls from a group of 75 and 1 red…

Q: Use the counting techniques: Permutations to solve the following problems. 1.- A train has 6 seats,…

A: Given information- We have given that a train has 6 seats. And 2 people are there. We have to find…

Q: How many possibilities are there for the win, place, and show (first, second, and third) positions…

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Q: committee of 5 students is to be selected from 14 students in a fraternity. In how many ways can…

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Q: 4. (a) In a group of 8 people, some of them shake hands. Is it possible that everyone shaked hands…

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Q: win

A: In the given question, the concept of combination is applied. Combination Permutations are…

Q: 1. A small town has only 500 residents. Must there be 2 residents who have the same birthday? Why?…

A: (1) A small town has only 500 residents. Claim: There are 2 residents who have the same birthday.…

Q: - Drawing four spades in a row from a standard deck of cards when the drawn card is not returned to…

A: There are 52 cards in a deck.  We can draw any 4 cards in a row in 52P4 ways.    There are 13…

Q: nd her brother has 8 visitors. In how many ways can they be seated including Clara and her brother…

A: Carla has = 6 visitors Her brother has = 8 visitors we have to find  how many ways can they be…

Q: Cash prizes are given out to the top 3 performers. First place wins $200. Second place wins $100.…

A: Given the total number of students  = 12. a)     The number of possible ways to get First prize 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.