In how many different ways can 7 bicycles be parked if there are 5 available parking spaces? 2. Eight basketball teams are competing for the top 4 standings to move up to the semi-finals. Find the number of possible ways that they will be in first to 4th rank.

Q: In how many different ways can the letters of the word KNOWLEDGE be arranged in such a way that the…

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Q: Consider the five letters a,b,c,d,e. In how many distinct ways can three letters be selected and…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: the number of permutations of 10 distinct objects taken six at a time is 151? a. b. True False

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Q: In how many ways can you send a message to your 8 teachers informing them that you have submitted…

A: Query- In how many ways can you send a message to your 8 teachers informing them that you have…

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

A: a) From a group of 11 players, we can pick a 5 player team in 11C5 ways.  When 5 players have been…

Q: (b) In how many different ways can you order 1 cone and 2 scoops of ice cream which are not the same…

A: Given,  A motor pool contains 5 subcompact sedans, 4 compact sedans, and 3 midsize sedans.

Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

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

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

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

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: 46. A student is given a reading list of ten books from which he must select two for an outside…

A: 46. A student is given a reading list of ten books from which he must select two for an outside…

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: In how many ways can 12 different books be distributed among four chil- dren so that (a) each child…

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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: The number of possible permutations if r objects are taken from n items is nPr =________.

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Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

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Q: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

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Q: In how many different ways can 7 of 19 teachers be selected to assist with the preparation of exams?…

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Q: It's all about PERMUTATION - I'm how many different ways can 5 bicycles be parked if there are 7…

A: Given: n=7r=5 The number of ways 5 bicycles be parked in 7 available parking spaces is obtained as…

Q: 4. Choose 5 members of 20 members of a college Math Club. Determine whether to use combination or…

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Q: B) How many different ways can 6 red, 8 yellow, 12 black, 7 green and 10 blue of bulbs be arranged…

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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: (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: How many different 6-letter words can be made a. if the first letter must be B, Y, P, or M and no…

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Q: Assume that the student has a cup with 9 writing implements: 4 pencils, 3 ball point pens, and 2…

A: 1) The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: 2. How many more possible arrangements can be made using the letters of the word PERMUTATIONS than…

A: The number of more possible arrangements that can be made using the letters of word PERMUTATIONS…

Q: Determine if each is a permutation or a combination and then evaluate. 32. How many groups of three…

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

Q: ose a board of 5 men and 5 women and that a committee consisting of 7 board members is to be formed.…

A: Given that  Number of men = 5 Number of women = 5 Committee must consists of 7 board members A…

Q: 2. Answer the following below: i. In how many ways can 3 runners be selected from a group of 10…

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Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: 1. In how many ways can 3 boys and 4 girls sit in a row if a. they are to sit alternately? b, the…

A: According to Bartleby guildlines we have to solve first question and rest can be reposted…

Q: Find the number of permutation if five 1,000- peso bills, three 100-peso bills, and two 50- peso…

A: Given: Number of 1000 peso bill = 5 Number of 100 peso bill = 3 Number of 50 peso bill = 2

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A: A. The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: 4. In how many ways may the judges in a beauty pageant choose a winner and a first runner-up if…

A: The objective is to find the number of ways that the judges can select a winner and a runner-up from…

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: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A:

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

A: (a). Identify the number of different ways to pick exactly 1 yellow ball: The number of red balls is…

Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

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Q: How many permutations are there in the letters of the word COMMOTION if the first and last letters…

A: Given :   C 0 M M O T I O N if first and last must either be C or N , there are two ways…

Q: GIVEN THE FOUR LETTER A,B,C,D SELECT TWO LETTERS WITHOUT REPLACEMENT A- LIST OUT ALL THE OPTIONS FOR…

A: A. The four letters are A, B, C, and D. The possible outcomes for selecting two letters without…

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: 2. How many ways can 3 cards be selected from a standard deck of 52 cards, disregarding the order of…

A: To find the ways in which the 3 cards can be drawn from the deck of 52 cards if the order does not…

Q: n how many ways could a club of 19 members choose a president, vice president, and treasurer?

A: The club has 19 members. To find the number of ways to choose a president, vice president, and…

Q: Answer the following question by using a combination or a permutation. how many different ways can 3…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: How Many perMutations of the digits 0, I, 2, 3. 4, 5, 6, 7, 8, 9 are there in which the digitss…

A: The permutation represents the number of ways something can be arranged. In permutations or…

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.