Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…
A: Given data: Total students = 30 To find: In how many ways can the teacher assign students to the…
Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…
A: To determine the number of ways the committee can be formed.
Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…
A: Every shirt combines with every pair of pants to make an outfit. Shirt 1 creates an unique outfit…
Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…
A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…
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: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?
A: Note that here we have to select a group of 5 students from a 30 student classroom.
Q: How many ways are there to distribute 7 different tasks to 7 different people if: i. No restrictions…
A: We have to find the number of ways.
Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?
A:
Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…
A:
Q: How many ways can we pair up 24 dogs with 24 cats for example one dog to one cat?
A: We have to pair 24 dogs with 24 cats
Q: How many ways are there to distribute 9 cookies to 4 children.
A: Solution:
Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…
A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…
Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…
A:
Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…
A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…
Q: \How many ways can Mr. Cinco distribute 12 different books among 4 students (A, B, C, D) such that…
A:
Q: How many ways are there to fly from City 1 to City 4 with one stop?
A: Here use given table for no of ways fly from city 1 to city 4
Q: A class of 20 students is divided into 5 teams of 4 students each. How many ways are there to divide…
A: Number of ways in which n students can be divided into k groups of h students is given by,
Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…
A:
Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…
A:
Q: There are 12 different books on a shelf. In how many ways can we take 4 of these books and put them…
A: Combination: A combination is a grouping or subset of items. for a combination, the order not…
Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…
A: 120 distinct packages have to be distributed equally among the 10 trucks.
Q: How many ways are there to distribute 20 cents to n children and one parent if the parent receives…
A: Given:- (a) The children receive any amounts: i. When parents receive a nickel = 5 cents…
Q: How many ways can 3 runners be selected for the Olympics from a field of 5 contestants?
A: Number of ways in which X runners can be selected for the Olympics from a field of N contestants is…
Q: How many ways are there to distribute 27 identical jelly beans among three children: a) Without…
A: Given: N=27 total number of jellys r= 3
Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?
A:
Q: How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are…
A: Total number of distinct boxes=n=2 Total number of distinct balls=r=5
Q: How
A:
Q: The number of ways to distribute 9 toys to 4 children so that the youngest child receives 3 toys and…
A:
Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…
A:
Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?
A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?
Q: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many…
A: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. If the…
Q: A four-person committee is to be selected from an organization’s membership of 12 people. How many…
A:
Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…
A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…
Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…
A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…
Q: how many ways are there to distribute 20 cookies to 4 students so that no student gest more than 6…
A: We see this problem in a different way, so that we can use Stars and Bars method. By Stars and Bars…
Q: How many combinations are there of 26 letters taken items taken 2 at a time ?
A: The number of combinations = nCr n : number of options available r : number of options to be…
Q: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…
A: To determine : How many ways can 120 identical packages be loaded into 10 delivery trucks where…
Q: If there are 5 ways to perform task A and 6 ways to perform task B, then how many ways are there…
A: Given information No of ways to do task A = 5 No of ways to do task B = 6
Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…
A:
Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…
A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…
Q: Six numbered marbles are to be placed into three bags so that there are two marbles in each bag. How…
A: We have given that There are six marble into We have to place it into 3 bag
Q: the rhineland pastry chain will open a new branch in Osorno; So far they have 10 applicants for the…
A: Given Data: number of position (x)=3 number of applicants (n)=10
Q: The manufacturer plans to make scarves with 8 colored stripes. There are 16 colors to choose from…
A:
Q: How many ways are there to distribute 6 different books among 13 children if no child gets more than…
A: Given: 6 different are to be distributed among 13 children so that no child gets more than 1 book
Q: What are 2 ways to obtain 1 jug with exactly 4 units of water?
A: Given: There are three jugs. 5 unit jug, 3 unit jug, and an emply jug. To determine: 2 ways to…
Q: how many ways can I sit 7 people around a circular table where seating are considered the same when…
A:
Q: A five-person committee is to be selected from an organization's membership of 19 people. How many…
A: It is given that, An organization has 19 people out of which 5 person committee is to be selected.…
Q: 4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10…
A: the number of arrangements or ways r people seated n adjacent seats row =nPr =n!/(n-r)!
Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…
A: According to the question number of combination are
Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…
A: We have to use combination formula. Formula : Crn = n!r!(n-r)!
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- How many distinguishable words can be formed from the letters of the word casserole if each letter is used exactly once?In how many ways can 5 people stand in a line if one person demands to be first?How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
- How many six-digit license plates can be made if no plate begins with 0 or 1?Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag if you assume that the order in which you retrieve the marbles DOES matter?1) If the mouse starts in room 1, how long on average will it take the mouse to return to room 1? 2.) If the mouse starts in room 4, how long on average will it take the mouse to return to room 4?
- Suppose 34% of students chose to study German their junior year, and that meant that there were 272 such students. How many students chose not to take German their junior year?In how many different ways can the director of a design and structural department choose 2 Civil Engineers from among 7 applicants and 3 Environmental and Sanitary Engineers from among 9 applicants?1) How many different words (including nonsense words) can you make by rearranging the letters of the word EFFERVESCENCE? 2) How many different 4 letter words (including nonsense words) can be made from the letters of EFFERVESCENCE, if letters cannot be repeated? 3) How many different 4 letter words (including nonsense words) can be made from the letters of EFFERVESCENCE, if letters can be repeated?
- Suppose 12% of students chose to study French their freshman year, and that meant there were 21 such students. How many students chose not to study French their freshman year?What if the jelly bean machine gives 3 jelly beans to the first customer who put in a coin, 4 to the second, 8 to the third, 15 to the fourth, 25 to the fifth, etc. How many jelly beans will the machine give out if the machine will receive its 35th coin? and how about its 12th coin? How many has the machine given out after 12 coins are put into the machine?How many ways to distribute 10 pencils (indistinguishable), 15 erasers (distinguishable), and 20 pens (distinguishable) to 10 people so each one of them gets at least one pencil, one eraser, and 1 pen? (More than one type of stationery is allowed to each person.)
