Question

 You have 28 cards and 14 envelopes (labeled 1,2, ..,14).
In how many ways can you put the 28 cards into the envelopes if

(a) The cards are distinct?

Answer = 

(b) The cards are identical?

Answer = 

(b) The cards are identical and no envelope can be left empty?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
College Algebra
College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
Not helpful? See similar books
College Algebra
College Algebra
Sequences, Series,and Probability. 6ECP
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Probability Q&A

Find answers to questions asked by students like you.

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

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

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: The number of the different colored cups is 6. The number of the different colored saucers is 6.

Q: Suppose you choose 9 cards from a standard 52-card deck (with 13 hearts, 13 spades, 13 clubs and 13…

A: A standard 52-card deck contains 13 hearts, 13 spades, 13 clubs and 13 diamonds and probability of…

Q: A person has 4 dress shirts, 3 ties, and 7 jackets. In how many ways can that person select a dress…

A: Given: A person has 4 dress shirts                                3 ties…

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: There are 100 cans of green beans in grocery store. And 75 cans of these are "Best Deal" brand green…

Q: Suppose there are 100 cans of green beans in a grocery store, and 75 of these are "Best Deal" brand…

A: Given - Total number of green beans cans in a grocery store = 100 Number of "Best Deal" brand green…

Q: A family has 6 kids. In how many ways could the parents have the three boys and three girls?

A: Click to see the answer

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How…

A: (a)   Determine the number of ways that the 2 letters can be selected from three letters without…

Q: How many ways are there to deal hands from a standard playing deck to four players if: 1. Each…

A: Consider the provided question, Given, 4 players are playing cards. (1) The number of ways each…

Q: 10) If a man can select one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes, how…

A: Click to see the answer

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Given that,  Number of green balls = 5 Number of yellow balls = 7 Number of orange balls = 10. It is…

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: In the given question we have to calculate the ways by which the hats can be given to each friend.

Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216  No need to wear socks and caps So total ways…

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Click to see the answer

Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: Firstly, find the number of different ways in which the agent can telephone the 5 prospects today.…

Q: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

A: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: A club with ten members is to choose three​ officers: ​ president, vice-president, and​…

A: Click to see the answer

Q: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

A: Click to see the answer

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: Click to see the answer

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: Let us seat the girls first. We can arrange 8 girls in 8!=40320 ways.   When the girls are seated…

Q: How many different five-card hands can be formed with the 52 poker cards if we want 3 diamond cards…

A: Given: A deck contain 52 poker cards. 13-Diamond cards. 39 Non-diamond cards. The objective is to…

Q: In how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

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

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: See the attachment

Q: In a group of 15 students, 6 students are girls.  In how many ways can a team of 10  students be…

A: Click to see the answer

Q: Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if…

A: The n factorial is defined as n!=n·n-1···2·1. There 4 kind of suit in the deck of 52 card and each…

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

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

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: To find In how many ways can the coat room clerk return the hats so that everyone receives the wrong…

Q: four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box…

A: For first card there are 4 choices for next one there will be 3 choices and so on,...

Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given

Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the…

A: Click to see the answer

Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Given that, there are total 13 number of shirts, and it has 4 different sizes as 2 small, 3 medium,…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: In how many ways can a hostess select 6 luncheon guests from 10 women, if she is to avoid having a…

A: Click to see the answer

Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

A: Click to see the answer

Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

Q: Suppose that you must choose three people to meet with a customer. You have nine people to choose…

A: Given data, Total number of people (n)=9 Number of people to meet with a customer (r)=3

Q: 1. In Chacha’s Carinderia, a complete meal is composed of 1 cup of rice, 1 viand, 1 glass of drinks…

A: As per our guidelines, we are allowed to answer first question only. Thanks   There are :  3 kinds…

Q: 3. In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black, 2…

A: Answer: In 180 ways 2 black , 2 white, and 2 red pens can be chosen.

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…

Q: In how many ways can 8 students be seated in a row if three particular students must always be…

A: Given information :- In how many ways can 8 students be seated in a row if three particular students…

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: A catering service offers 4 appetizers, 11 main courses, and 9 desserts. A customer is to select 2…

A: It is given that Number of appetizers = 4 Number of main courses = 11 Number of desserts = 9

Knowledge Booster
Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • College Algebra
    Algebra
    ISBN:9781337282291
    Author:Ron Larson
    Publisher:Cengage Learning
    College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
  • Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
    College Algebra
    Algebra
    ISBN:9781305115545
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning
  • College Algebra
    Algebra
    ISBN:9781337282291
    Author:Ron Larson
    Publisher:Cengage Learning
    College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
    Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
    College Algebra
    Algebra
    ISBN:9781305115545
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning