In how many ways can(9)toys be distributed to(4)children so that the yongest child receives (3)toys and every other child (2)toys. A) 7560 B) 5760 C) 6750 D) i e

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1…

A: Consider the given statement,Student has a cup with 8 writing implements: 4 pencils, 3 ball point…

Q: A batch of 100 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the…

A: We have to use permutation and combination to solve the question.

Q: Assume that the users connect to a computer using terminals that are polled by the computer in a…

A: Given that the users connect to a computer using terminals that are polled by the computer in a…

Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

Q: Two six-sided dice are rolled and their product is taken. How many elements are in the subset of…

A: When two six-sided dice are rolled the sample space is as shown below  (1,1), (1,2),(1,3),…

Q: In a black bowl contains 10 red balls and 10 yellow balls. One person selects balls at random…

A: Given Information :  In a black bowl contains 10 red balls and 10 yellow balls . One person selects…

Q: $3.25 in dimes and nickels, were distributed among 45 boys.  If each received one coin, how many…

A: It is given that, $3.25 (in dimes and nickels) are distributed among 45 boys.

Q: 27. There are 3,200 families with five children each. How ma them are expected to have (a) 3 boys,…

A:

Q: Assume that the student has a cup with 9 writing implements: 5 pencils, 3 ball point pens, and 1…

A: Given data: *There are 9 writing implements out of which 5 are pencils, 3 are ball point pens and 1…

Q: 7. In how many ways can seven men and six women be arranged in a row so that the women occupy the…

A: Given, In an arrangement,Total men=7Total women=6 To find: Total ways of arrangement so that women…

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: How many permutations can be made to 10 pocalettes (small coconut shells) in designing the edge of a…

A:

Q: How many ways are there to place 13 identical red balls into 7 numbered bins?

A: Given Data: The total number of red balls is: n=13 The total number of bins is: r=7 The number of…

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

A:

Q: 15 distinguishable objects are to be distributed into five distinguishable boxes so that the boxes…

A:

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

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

A: Given: Number of books = 12 Number of children = 4

Q: 29. In how many ways 4 different balls be distributed in 5 boxes so that all the balls are not put…

A: To find the total number of ways that 4 different balls be distributed in 5 boxes so that no box…

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

A:

Q: Suppose a car you want to buy has five choices for inte-rior colors, three types of radios, three…

A: Given Data: The number of choices for interior colours is: N1=5 The number of choices for radios is:…

Q: An urn contains 12 numbered balls, of which 6 are black, and 6 are white.  A sample of 6 balls is…

A: Number of ways of selecting a sample of 6 balls from 12 balls is given by: 126 = 12!6! x (12-6)!…

Q: If you put 10 balls randomly into 12 boxes is it guaranteed no box will contain more than one ball?…

A: The number of ways 10 balls can be put into 12 boxes = 12×12×⋯×12 = 1210 Now, the number of ways no…

Q: In how many ways can 25 identical doughnuts can be distributed to 4 police officers so that each…

A:

Q: A lot of 140 semiconductor chips is inspected by choosing a sample of five chips. Assume 10 of the…

A: Basics:

Q: In a survey of 24 college students, it was found that 8 were taking an English class, 12 were taking…

A:

Q: To generate a Par(4) random number, u=0.6 is generated first. This will be mapped to what Par(4)…

A: R code for pareto number generation

Q: 3. How many ways are there to distribute n identical balls in k distinguishable (labelled) boxes…

A: It is given that there are n identical balls in k distinguishable boxes.

Q: In how many different ways can 6 identical lands be distributed among two distinct people if each…

A: If each person receives at least three lands each. Total number of identical lands is: 6 Number of…

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on…

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students…

Q: A 10-sided die will be rolled three times.   Find P( first roll > 6   OR   second roll > 6   OR…

A:

Q: In how many ways can we distribute eight identical white balls into four distinct containers so that…

A:

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: 7(a) A teacher selects 8 students from her class of 20 to work together on a project. How many ways…

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

Q: Question: How many different groups of seven balls can be drawn from a barrel containing balls…

A:

Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…

A: The number of identical computers is 5. The number of distinct people is 3. Since, each employee…

Q: How many ways to distribute 10 pencils (indistinguishable), 15 erasers (distinguishable), and 20…

A: From the given information, Total number of person =10 Number identical pencils =10 Total number of…

Q: How many diffrent ways are there to distribute 12 identical bones among three diffrent dogs?

A: It is known that, for any equation,

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the…

A:

Q: 35. Determine the number of ways in which a distributor can choose 2 of 15 warehouses to ship a…

A: It refers to the situation where order of occurrence of event does not matter.Number of selection of…

Q: If 6 out of 30 people over the age of 100 are male, Ho our of 30 people over the age of 100 are…

A: Given that The number of total people=30 Number of male over aged of 100 =6 Then we have to find the…

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high…

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Assume a boat sends signals by arranging six colored flags on a vertical flagpole. If there are two…

A: There are six colored flags on a vertical flagpole out of which two are red and four are green.

Q: A survey conducted by the Bureau of Labor Statistics found that 67% of high school graduating class…

A: Let A denotes the student in the high school graduating class went on to college and B denotes…

Q: In how many ways can you distribute 10 identical balls between Ram, Yuvraj Singh, Mansoor and…

A: Number of way of choosing r objects out of n identical objects =Crn=n!(n-r)!×r!Given:total identical…

Q: Suppose that you toss a fair coin 10,000 times. Write down explicitly the at the coin lands on heads…

A: Given information: Given that a fair coin is tossed 10,000 times.

Q: In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course,…

A: